My standard smart-ass answer:
Put a nail in the fuse slot, and whatever catches fire, that was the problem. Replace that item.
It's odd for that type of break in to damage anything, that's my favorite out of all my lockout tools, that's why I use it, it never hurts anything.
Did they wedge the top of the door frame, or the rear side?
My guess would be they damaged the switch that turns on the interior lights when you open the door somehow, and it's shorting to ground. Did they reach across the car to the opposite door with a long tool, or hit the same lock as the door they were wedging?
I'm assuming they didn't try to J-tool under the window inside of the door or use a slimjim before using the air wedge, right? Because if they were in the door at all, that's where the problem is gonna be....