What can I do if I was saving money in my parents saving and it affects their benefits?

If you were giving your parents money to save for you and there is no record that this is your money in their account, then it is for all intents and purposes, their money. Why would you not open your own account? If they give this money back to you and they file for Medicaid, it will absolutely be looked upon as gifting. Because, there is no proof it is your money.

This is difficult to understand. Were you a child putting pocket money savings into their account? Otherwise, why were you ‘saving money in (your parents) saving? Please give a few more details so that people on the site can help.