You can restore or transfer progress to another device yourself as follows:
1. Link your progress to your Game Center account: open the "Settings" menu in the game (the gear icon), click on the Game Center icon and enter your profile information.
2. Go to Game Center on the device you want under the same account and download the available profile from the cloud.

You can also synchronize your progress in another way: You just need to link your game accounts on different devices to one Facebook account. This method will allow you to further sync your progress with other platforms such as Windows Store, Amazon Store and Galaxy Store.
First, you need to link your main game to your Facebook account. After that, link the game on the other device to the same account, and your progress on the two devices will be synchronized.