You cannot transfer game progress through files, as they said before, you will have to keep your device safe if you want to continue with the progress you want to maintain.
Another way is with the IOS system but that is a separate topic. I recommend that you try, as painful as it may be, to create a new Facebook account or if you already have a better one, and try to log in with that account in the modified game.
You will free yourself from these problems and you will have more security to be able to transfer your progress wherever you want.