I was wondering what happens if a teacher fails to submit my letters of recommendation before the deadline. Will the college still consider my application if they are only a few days late? Is there anything I can do or anyone I can contact to request that my application still be accepted?
It depends on the college. Almost all colleges (UMich is a notable exception, where everything needs to be in by the deadline or the package switched to RD) will give a few days grace period for items not in your control.
How convenient that the college in question is UMich.
Is that the only teacher recommendation? You only need one to make your EA application complete.