You need to set the bearing adjuster in the threads so it turns freely in the threads on the carrier. The set the replacement cap on without the bolts and see if it turns freely. Once you have it pressed against and it turns free see if you can start the bolts. If you can pull the bolts against and still turn the adjuster and not bind the threads you should be good .
No promises but I have done this with success on a carrier with a cracked cap. They are threaded together but there is side movement at the bolts and alignment may be possible with holes not having a precise fit to the bolt.