Yeah, the MSP needs to set their shop in such a way that it rewards the right category badge. Do keep in mind that every shop can only grant one specialty badge, so for example, a price audit at a Gas Station might be categorized the "Gas Station/C-Store" specialty, and give that badge, not the "Price Audit" one - it all depends on how the MSP categorizes their shop. They can set their shop's specialty to any of their choosing, but they usually try to be "narrow" and specific about their badges categories, so as price audit shops are a bit more generic than shops at gas stations, I wouldn't be surprised if this was the case and they decided to categorize it in such a way.

In any case, it's good to check your badges and make sure that you didn't receive a different category badge if you think some are missing, and if you think your shop is incorrectly categorized or not categorized at all, you do have every right to contact the MSP and let them know about it.