Unfortunately, we can't check if your game was properly linked once you have lost your progress.
Your progress could be recovered if you were connected to Game Center on your device.
Please follow the steps below:
1) Login using the e-mail address originally used to sync your account.
2) If you can't recover your progress, please contact Apple Support to recover your account’s information.
We can't access Game Center account info, so we need help from both you and Apple in finding the correct login details used for recovering your account.