Foul during a shot, then foul on a rebound

[APG]

Originally Posted by JS 20

Can't have a false double here because the fouls were commited by players on opposing teams. False double occurs when there are fouls by teammates on different opponents

Nope it's a false double foul:

Rule, Section 20
ART. 9 . . . A false double foul is a situation in which there are fouls by both teams, the second of which occurs before the clock is started following the first, and such that at least one of the attributes of a double foul is absent.

You had fouls by both teams and one attribute of a double foul (fouls committed by opponents against each other) is absent.