Answered by Shaykh Faraz Rabbani
According to the Hanafi madhab, is there anything that is to be recited between the two sajdahs in a single rakah? I had always been taught to say “Allahumma aghfirli” or “Rabee aghfirli”, but have now been told that that is not required according to the Hanafi madhab. Could you please tell me what is the correct thing to do?

In the Name of Allah, Most Merciful and Compassionate
Yes, what you are doing is a correct and sound practice.
It is not a particular sunna (such that it be disliked to leave) in the Hanafi school to recite anything between the two prostrations. However, it is praiseworthy or recommended to do so, as Ibn Abidin explains in Radd al-Muhtar, and this also avoids the difference of those imams who deemed it a necessary element of the prayer.
And Allah alone gives success.
Wassalam,
Faraz Rabbanii