BC violation on tipped pass by offense

[Freddy]

Originally Posted by fullor30

. . . The situation is that it was tipped.

Had one last Friday where I judged a situation "more than a tip"; I was confident in my call, but seek your verification.
In an attempt to rebound a missed shot, rebounder A1, from in front of his own basket, clearly "more than tipped" the rebound when he, while still in the air, with one hand pushed the ball back in an attempt to get it to A2 positioned near the top of the key. The ball went over A2's head and into his backcourt, after which A2 went and picked the ball up in his backcourt.
I whistled a backcourt violation, deeming A1's push of the ball to be player control, thus team control.
Given the definition of player control ("...when he/she is holding or dribbling a live ball inbounds"), was I correct?