Ball wedged between rim and backboard
 

A1 attempts a shot, B1 fouls. Whistle is blown. Ball gets wedged between rim and backboard.

Does the shooting foul gets down graded to a regular foul and ball goes to possesion arrow?

just a missed shot
 

Nope, just a unsuccessful try.
A1 gets 2 free throws, play on from the 2nd.

If B1 fouls A1, then A1 will shoot free throws, play on from there.

Does the ball becoming wedged mean it wasn't a try?

I'm always surprised at how confusing the wedged ball seems to be when it's complicated by anything else -- a foul, the shot clock, etc.

any reference in the rule book regarding something like this?

What would you need? It was a try. It was unsuccessful. There was a foul. Shoot 2 (or 3) FTs.

For your scenario, the wedged ball changes nothing. The shooter was fouled, and the try was unsuccessful. Proceed from there.

Thanks

I think the confusion come from the fact that the rule/case on the wedge ball says that the result is an AP throwin without mentioning that there is no foul.

When you combine the two rules/cases, it becomes necessary to know the assumptions of each rule in order to apply the correct rule.

In this case, the wedged ball rule is superseded by the foul rules because the assumption in the wedged ball rule is that no other infraction has occurred.

6-4-3d, "unless a free throw or throw in follows."

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