Narrated Aishah, Ummul Muminin: When the Messenger of Allah ﷺ began his prayer, he said: "Glory be to Thee, O Allah, " and "Praise be to Thee" and "Blessed is Thy name, and Exalted is Thy greatness, sand there is no god but Allah. " Abu Dawud said: This tradition is not well known from Abd al-Salam bin Harb. No one narrated this except Talq bin Ghannam. A group of narrators reported the description of prayer from (the narrator) Budail; they did not mention therein this supplication.
Hadith Referenceسنن ابي داود / أبواب تفريع استفتاح الصلاة / 776
Hadith Gradingالألبانی:صحيح وهذا الحديث ليس بالمشهور عن عبد السلام بن حرب لم يروه إلا طلق بن غنام وقد روى قصة الصلاة عن بديل جماعة لم يذكروا فيه شيئا من هذا | زبیر علی زئی:صحيح, مشكوة المصابيح (815), الحديث السابق (775) شاھد له وأصله عند مسلم (498)
Hadith Takhrij« سنن الترمذی/الصلاة 67 (263)، سنن ابن ماجہ/إقامة الصلاة 1 (804)، (تحفة الأشراف: 16041) (صحیح) »
776. Commentary: Allamah Shawkani rahimahullah states that it is preferable and superior to choose only those supplications (adhkar) which are authentically established from the Prophet sallallahu alayhi wa sallam through sound chains of narration. Among the opening supplications of prayer, the most authentic is the hadith of Abu Hurairah radi Allahu anhu: «يعني اللهم باعد بيني و بين . . .»[صحيح بخاري حديث 744۔ وصحيح مسلم حديث 598] After this comes the hadith of Ali radi Allahu anhu, that is, «وجهت وجهي للذي فطر السموات . . . الخ», and the hadith of Aishah radi Allahu anha and Abu Sa'id radi Allahu anhu, that is, «سبحانك اللهم . . . الخ», about which there is some discussion. [نيل الاوطار 215/2۔ تا 219] However, Imam Shawkani rahimahullah, in the next chapter, has also considered this hadith to be actionable due to supporting narrations. Shaykh al-Albani rahimahullah has declared this hadith to be authentic. In addition, our researcher (Shaykh Zubair Ali Zai rahimahullah) has also declared it authentic. Therefore, reciting this opening supplication is also correct; although in terms of the grading of the hadith, its rank is third, it is still authentic.
Source: Sunan Abu Dawood – Commentary by Shaykh Umar Farooq Saeedi, Page: 776
´Aishah narrated:` "When the Prophet opened the Salat he would say: (Subhanaka Allahumma wa bihamdika wa tabarakasmuka, wa ta'ala jadduka wa la ilaha ghairuk)" 'Glorious You are O Allah, and with Your praise, and blessed is Your Name, and exalted is Your majesty, and none has the right to be worshipped but You.'
Shaykh Dr. Abdur Rahman Freywai
Commentary: Note: (Harithah bin Abi al-Rijal is weak, as the author himself has commented, but by being strengthened through the preceding hadith, this narration is authentic.)
Source: Sunan al-Tirmidhi – Majlis ‘Ilmi Dar al-Da‘wah, New Delhi Edition, Page: 243