Abdullah bin Mas'ud narrated: "Allah's Messenger taught us, that when we sit for every two Rak'ah we should say: (At-Tahyyatulillah, was-salawatu wattayybaat. As-salamu alaika ayyuhannabiyyu wa rahmatullahi wa barakatuhu, as-salamu alaina wa ala ibadillahis-salihin. Ashhadu an la ilaha illallah wa ashadu anna Muhammadan abduhu wa Rasuluh.) 'All greetings, prayers, and pure words are Allah. Peace be upon you O Prophet, and Allah's mercy and His blessings. Peace be upon us and all of the righteous worshippers of Allah. I testify that nne has the right to be worshipped but Allah, and I testify that Muhammad is Allah's servant and Messenger.'"
Ibn Abbas narrated: "Allah's Messenger would teach us the Tashah-hud just as he would teach us the Qur'an. He would say: (At-Tahiyyatu, al mubarakatu, as-salawatu at-tayyibatulillah. Salamun alaika ayyuhan-naibiyyu wa rahmatullahi wa barakatuhu, salamun alaina wa ala ibadalillahis-salihin. Ashhadu an la ilaha illallah, wa ashhadu anna Muhammadan abduhu wa Raduluh.) 'All greetings, goodness, prayers, and pure words are for Allah. Peace be upon you O Prophet, and Allah's mercy and His blessings, Peace be upon us and all of the righteous worshippers of Allah. I testify that there is none worthy of worship except Allah, and I testify that Muhammad is Allah's worshipper and Messenger.'"
Wa'il bin Hujr said: "I arrived in Al-Madinah and I said, 'Let me look at the Salat of Allah's Messenger.' When he sat - meaning for At-Tashah-hud - he spread his left foot, and placed his left hand - meaning on his left thigh - and held his right foot erect."
Abbas bin SAhl [bin Sa'd] narrated: "Abu Humaid, Abu Usaid, Sahl bin Sa'd, and Muhammad bin Maslamah were once together and they were mentioning the Salat of Allah's Messenger. Abu Humaid said: "I am the most knowledgeable among you of the Salat of Allah's Messenger: Indeed Allah's Messenger sat - meaning for Tashah-hud - he spread his left foot, and made the top of his right (foot) face the Qiblah, and he placed his right hand on his right knee, and his left hand on his left knee, and indicated with his finger - meaning the index finge.'"
Ibn Umar narrated: "When the Prophet would sit during the Salat, he would place his right hand on his knee, and raise his finger, the one that is next to the [right] thumb, supplicating with it, and his left hand was spread flat on his left knee."
Abdullah narrated: "The Prophet would say the Salam from his right and from his left (saying): (As-Salamu alaikum wa rahmatullah, as-Salamu alaikum wa rahmatullah) 'Peace be upon you, and Allah's mercy. Peace be upon you, and Allah's mercy.'"
Aishah narrated: "When Allah's Messenger said the Salam he would not remain seated except long enough to say: (Allahumma antas-salam, wa minkas-salam, tabarakta dhal jalali wal-Ikram) 'O Allah! You are the One free of defects, and perfection is from You. Blessed are You, Possessor of Majesty and Honor.'"
Aishah narrated: (Another chain) which is similar, but he said: (Tabarakta ya dhal-jalali wal-ikram) "Blessed are You, O Possessor of Majesty and Honor."
Thawban, the freed slave of Allah's Messenger, narrated that : Allah's Messenger said: "When Allah's Messenger wanted to turn from his Salat, he would seek forgiveness from Allah three times, then say: (Allahumma Antas-Salam, wa minkas-salam, tabarakta ya dhal-jalali wal-Ikram) 'O Allah! You are the One free of defects and perfection is from You. Blessed are You, O Possesor of Majesty and Honor.'"
Qabisah bin Hulb narrated that his father said: "When Allah's Messenger would lead us in Salat he would turn (to leave) from both sides, on his right and on his left."
Rifa`ah bin Rafi` narrated: "One day Allah's Messenger was sitting in the Masjid" Rifa'ah said: "And we were with him. Then what appeared to be a Bedouin man entered to pray, but he performed his Salat in a very brief manner. He then got up and greeted the prophet with Salam. The Prophet said (returning the greeting): 'And upon you. Go back and perform Salat, for indeed you have no prayed.' So he returned to perform Salat then came and greeted the Prophet with Salam. So he (the Prophet) said (returning the greeting): 'And upon you. Go back and perform Salat, for indeed you have not prayed.' [He did that] two or three times, each time coming to the Prophet, greeted the Prophet with Salam and the Prophet saying: 'And upon you. Go back and perform Salat, for indeed you have not prayed.' - until the people got scared and became very worried that one whose prayer was so brief had not actually prayed. Then in the end the man said: 'Then show me, and teach me, for I am a human who has suffered and is mistaken.' So he said: 'Alright. When you stand for Salat then perform Wudu as Allah ordered you. Then say the Tashahhud, and the Iqamah as well. If you know any Quran then recite it, if not then praise Allah, mention His greatness, and the Tahlil. Then bow such that you are at rest in your bowing, then stand completely, then prostrate completely, then sit such that you are at rest while sitting them stand. When you have done that, then you have completed your Salat, and if you leave out something, then you have made your Salat deficient.' And this was easier on them than the first matter, because if some of this was deficient, It would only reduce the reward of his Salat, it would not have gone entirely. "
Abu Hurairah narrated: "Allah's Messenger entered the Masjid, and a man entered and offered Salat. Then he came to give Salam to the Propet. He returned the Salam to him and said: 'Go back and perform Salat, for indeed you have not prayed.' So the man returned to pray as he had prayed. Then he came to give Salam to the Prophet. He returned Salam to him, then [Allah's Messenger] said: 'Go back and perform Salat, for indeed you have not prayed' until he had done that three times. So the man said to him: 'By the One who sent you with the Truth, I do not know any better than this, so teach me.' So he said [to him]: 'When you stand for Salat then say the Takbir, then recite what is easy for you of the Quran. Then bow until you are at rest while bowing, then rise up until you are at rest sitting. Do that in all of your Salat.'"
Muhammad bin Amr bin Ata' narrated from Abu Humaid As-Saidi, : he (Muhammad) said: "I heard him saying - while he was among ten of the Companions of the Prophet, one of whom was Abu Qatadah bin Ribi - 'I am the most knowledgeable among you of the Salat of the Allah's Messenger.' They said: 'You did not precede us in his companionship, nor were you in his company more than us.' He said: 'Even still." They said: 'Go ahead.' So he said: 'When Allah's Messenger stood for Salat he would stand with his back straight and raise his hands until they were at the level of his shoulder. Then he would say: (Allahu Akbar) "Allah is Most Great" and bow. Then he would straighten (his back) so that he would not lower his head, nor raise it, and he placed his hands on his knees. Then he said: (Sami Allahu liman hamidah) "Allah listens to those who praise Him." And he raised his hands and stood up straight until all of his bones completely returned to their places. Then he went down to the ground prostrating, then he said: (Allahu Akbar) "Allah is Most Great." Then he held his upper arms away from his midsection, and opened his toes on his feet (facing the Qiblah), then he bend his left foot and sat on it then straightened up until all of his bones completely returned to their placed, then he went down to prostrate. Then he said: (Allahu Akbar) "Allah is Most Great," then he bent his foot and sat and straightened up until all of his bones completely returned to their places. Then he got up. Then in the second Rak'ah he did the same as that, such that when he stood from the two prostrations, he sad the Takbir and raised his hands until they were at the level of his shoulders as he did when he opened the Salat. Then he did like that until it was the Rak'ah in which his Salat was to end, when he moved his left foot over and sat on his side (in the Mutawarrik postion). Then he said the Taslim.'"
Hadiths 306https://sunnah.com/tirmidhi:305
حَدَّثَنَا مُحَمَّدُ بْنُ بَشَّارٍ، وَالْحَسَنُ بْنُ عَلِيٍّ الْخَلاَّلُ الْحُلْوَانِيُّ، وَسَلَمَةُ بْنُ شَبِيبٍ، وَغَيْرُ، وَاحِدٍ، قَالُوا حَدَّثَنَا أَبُو عَاصِمٍ النَّبِيلُ، حَدَّثَنَا عَبْدُ الْحَمِيدِ بْنُ جَعْفَرٍ، حَدَّثَنَا مُحَمَّدُ بْنُ عَمْرِو بْنِ عَطَاءٍ، قَالَ سَمِعْتُ أَبَا حُمَيْدٍ السَّاعِدِيَّ، فِي عَشَرَةٍ مِنْ أَصْحَابِ النَّبِيِّ صلى الله عليه وسلم مِنْهُمْ أَبُو قَتَادَةَ بْنُ رِبْعِيٍّ فَذَكَرَ نَحْوَ حَدِيثِ يَحْيَى بْنِ سَعِيدٍ بِمَعْنَاهُ وَزَادَ فِيهِ أَبُو عَاصِمٍ عَنْ عَبْدِ الْحَمِيدِ بْنِ جَعْفَرٍ هَذَا الْحَرْفَ قَالُوا صَدَقْتَ هَكَذَا صَلَّى النَّبِيُّ صلى الله عليه وسلم . قَالَ أَبُو عِيسَى زَادَ أَبُو عَاصِمٍ الضَّحَّاكُ بْنُ مَخْلَدٍ فِي هَذَا الْحَدِيثِ عَنْ عَبْدِ الْحَمِيدِ بْنِ جَعْفَرٍ هَذَا الْحَرْفَ قَالُوا صَدَقْتَ هَكَذَا صَلَّى النَّبِيُّ صلى الله عليه وسلم .
(Another chain) that Muhammad bin Amir bin Ata narrated from Abu Humaid As-Saidi,: he (Muhammad) said: "I heard him saying - while he was among ten of the Companions of the Prophet, one of whom was Abu Qatadah bin Ribi."
Jabir bin Samurah narrated: "For Zuhr and Asr, Allah's Messenger would recite: By the heavens, holding the Buruj and (By the heavens and At-Tariq) and similar to them."
Umm Al-Fadl narrated: "Allah's Messenger came out to us with his head bandaged from his illness. He prayed Maghrib, reciting (Surat) Al-Mursalat." [She said:] "He did not pray it again until he met Allah the Might and Sublime."