Authenticator app not working

Upon opening my authenticator app on the bottom, it says “begin recovery” - upon clicking that link a message pops up that says “ there is no backup stored in your iCloud. Make sure that you’re signed into the same iCloud account you used to create a backup.” -

I did change my iCloud account because I changed email address. I don’t have a way to login to any old iCloud account.??? not sure how to get around this or what to do to get my Authenticator app back working.