I have been married for close to 2 years. 2 years in April. I moved into my husbands house. We want to know how to put my name on the mortgage. Would we have to remortgage? My credit is horriible from the past, I have repo on my credit score and my husbands credit is good. Any advice?

And why exactly would you want your name on the mortgage??

Because we pay all the bills together and I feel I should be on the mortgage since I am helping pay the house.

The lender won't let you do that. You would have to refi. Even if you were able to do that, doing that won't help your credit.
Pay all your bills that are in your name on time. The bad news on your credit report isthere for 7 years. Every month that you pay all your bills on time (theone in your name or joint bills) your credit will improve somewhat.