What is authentically reported from ʿĀʾishah on this point corresponds to types 5–6 cited in the book.
The supplication in question is sound and firmly established from the Prophet ﷺ in an unrestricted manner, not limited to prostration. Muslim likewise recorded it (8/81) in the narration of Zayd ibn Arqam concerning the Prophet’s habitual supplication.
His words: 7 – The Prophet ﷺ used to say while prostrating, “O Allah, forgive my sin, my ignorance, my excess in my affairs, and whatever You know about me better than I…”
I say: The author quoted it like this without attributing it to anyone, apparently following Ibn al-Qayyim, who cited it the same way in Zad al-Maʿād. I do not know of anyone who transmitted it specifically as a prostration supplication, nor have I found anyone besides Ibn al-Qayyim who placed it there; I believe this is one of his slips—may Allah have mercy on him. The two Shaykhs related the ḥadith in their Ṣaḥīḥs from Abū Mūsā al-Ashʿarī that the Prophet ﷺ used to make this duʿāʾ, mentioning it in full, except that they say: “You are the One who brings forward and the One who defers, and You are capable of all things,” instead of: “You are my God; there is no god but You.” Both of them reported it unrestrictedly, without linking it to prostration. Al-Ḥāfiẓ commented in his explanation (11/164): “I have not seen in any of its transmission-lines a setting that specifies it for prostration.”
The final portion of the supplication is reported from ʿAlī, restricted to the time after the closing salām, and in another wording: “between the tashahhud and the salutation.” The author has cited it in its proper place on p. 321.
This chapter contains additional remembrances and supplications which may be found in Ṣifat al-Ṣalāh, pp. 153–156.
Concerning the description of sitting between the two prostrations he says: On the authority of ʿĀʾishah that the Prophet ﷺ would spread his left foot flat and keep the right one upright; narrated by al-Bukhārī and Muslim.
I say: Citing al-Bukhārī here is incorrect, for the report is exclusive to Muslim. It is documented in Irwāʾ al-Ghalīl 316 and Ṣaḥīḥ Abī Dāwūd 752, and it has a defect that I have explained and answered there.