Email adress

Did you restore a backup to the new phone? Use the article below as a guide of where to sign out of your old ID and then sign in with the new ID.

What to do after you change your Apple ID or password - Apple Support     

 A request for another Apple ID password is often caused by updates to apps/purchases that were made when using the other ID. Those purchases are tied to the other ID and can't be transferred. One option is to delete the apps/purchases made by the other ID and download them using the new ID if desired. If necessary, check your purchases history to see which apps/purchases weren’t made by the current ID. 

Purchase History Review

Or you can try to set up Family Sharing to keep access to your purchases.

 Family Sharing

Family Sharing - Set up