Does medicare require you to carry medical insurance in your auto policy?

Medicare has nothing to do with auto insurance. Medicare is a Federal program of medical care for the elderly. During one's working life, Medicare taxes are paid to provide the benefit upon retirement or disability.

What you may be referring to is "medical payments coverage". It is a a coverage provided by auto policies that is available to pay a portion another party's medical bills in the event of a collision in which he/she is injured.