The ruling on praying two rak'ahs after Fajr in the mosque or at home

Question:
May Allah reward you, Honorable Shaykh. Regarding the saying of the Prophet (peace and blessings be upon him) up to where he said, "then he prayed two rak'ahs," which is better: praying these two rak'ahs in the mosque or at home? The hadith states that a man's prayer at home is better, except for the obligatory prayers. And the other question

Answer:
Let us stick with the first one. A man prays Fajr and other prayers in the mosque; he does not pray them at home. The hadith is only about sitting in the mosque. He prays Fajr in the mosque and sits in his place of prayer in the mosque until the sun rises, then he prays two rak'ahs. A Muslim does not pray the obligatory prayer at home. Yes, that is the first question.