Why, we have someone familiar with B1G officiating procedures right here...Since you seem to be very interested in how officiating works, here's a too-long answer that's (probably generously) assuming that you aren't attempt to troll. Note I have no affiliation with the B1G, have never been to the Midwest, and could not possibly care less about either of these two teams. I have talked to several B1G officials.
First, the officials for a conference are drawn from the same footprint as the schools. The reason should be logistically obvious. Everyone on this lives in the Midwest. The crews at the beginning of the year are integrated geographically SPECIFICALLY to avoid this kind of dumb complaint. There will likely be an official from Ohio on EVERY crew in the B1G. Same, by the way, for Michigan. And yes, Michigan was represented on this crew as well.
Someone with even a passing knowledge of college football should know that the head referee (who, despite your post, has no affiliation with Ohio) has no input in the review process. You may be getting college football confused with the NFL.
The rest of this post is just misattributing who called fouls and who is supposed to call fouls. Most fans are under the impression that the official nearest a player should call fouls on that player, when instead keys are assigned to officials at the snap based on formation. This is why occasionally a flag will come from far away when actually that official had primary coverage.
The worst call in the game (in my opinion) was actually one that benefited Michigan. The officials incorrectly assessed a timeout on Ohio state for failure to wear proper equipment. This rule was changed two years ago, the current penalty is to send the player out of the game for one play (1-4-8 in the rule book).