Progress saving and synchronization are only possible through Facebook at the moment. This means there is unfortunately no way for you to sync your progress right now without a Facebook account.
In the meantime, if you need to restore lost progress or move your progress entirely to a new device, we may be able to help. What we will need in order to do this is your Support ID. This can be found in the game under Menu > Support > Contact Us > Copy Support ID - tapping on that will enable you to paste it into your email.