It's not possible to recover game's progress if you didn't back up the contents to your PC or using the built-in features. Most developers offer Play Games or Facebook/Google+ integration exactly to avoid these situations.
If you logged using one of the mentioned, services, then log-in again and the progress will be restored to the last backup. In case you believe it's a mistake from the developer's side, use the following email to contact them: tdm-support@goplaytoday.com