What is the ruling if two people are masbuq (latecomers) and, after the prayer ends, one of them wants to be the imam for the other?

The questioner : O esteemed Shaykh, if a man has qada' (making up a missed act of worship) in his prayer, meaning he missed part of the prayer and stands up to complete it, does he complete it alone, or with the person next to him?

The Shaykh : I mean, if two people enter the prayer and have missed part of it, and one says to the other, "I will be your imam for what we are making up," is this permissible?
Some scholars say it is permissible, and some scholars say it is not permissible, because a person is commanded to make up what he missed alone, . We see that there is no harm in doing it, but it is better not to do it; rather, each person should make up his prayer alone. This is because if he makes up the prayer with his companion as a congregation, he might disturb others with his takbir (saying Allahu akbar), or he might disturb others with his recitation if what they are making up includes loud recitation. Also, he and his companion might form a congregation, and two other people might come and form another congregation, resulting in multiple congregations in one mosque. For this reason, it should not be done. However, if it is done, the correct view is that the prayer is not invalidated. Some scholars said that it is invalidated. Yes.