Were you installing the battery? Or were you attempting a jump start?
In any event, the fusible links are what your shop should check first. It’s possible if anything got damaged at all, its only the fusible links. These are inexpensive to replace. The engineers who design the car expect this will happen from time to time, and test that the electrical system design is fault tolerant for this eventuality. I’m not sure which would cause the most damage, installing the battery reversed, or reversing the polarity on a jump start. I’d guess the worst case would be the jump start.