Can my husband help me fix my papers even though he has two felonies?

Generally a U.S. citizen may succeed in sponsoring a spouse to become a Lawful Permanent Resident (to get a "Green Card") notwithstanding the citizen's prior criminal arrest/conviction history, even if that may include two felony convictions. Of course, there are many other details that determine eligibility. It would be wise for you and your husband to consult with an immigration attorney who, after learning all of the relevant information, could advise about eligibilities, options and strategies to attain your goals, and who then could offer legal representation in the often complex application process.

It depends on what his convictions are for, how long ago they were, etc.