Answered by Shaykh Faraz Rabbani
If you happen to miss the two sunnah’s of Fajr and the Imam starts the fard pray, can you pray the sunnah after the Imam has completed the fard?
Walaikum assalam,
In the Hanafi school, you cannot. In general, it is prohibitively disliked to perform any prayer (including istikhara, greeting the masjid, need, etc) after the fard of Fajr, except for makeup (qada) prayers, until the sun rises in the sky.
Wassalam,
Faraz Rabbani.