Can I use Google Backup & Restore to backup my games and their data?

While Google backup & restore can help you to reinstall the apps or games in your case, but it won’t restore the game progress.

You’ll need to use a 3rd party app such as Helium to backup and restore games and their data.

Also note that, nowadays a lot of games come with the sign in option. Usually, the game progress is saved in the server with the sign in option. Therefore, you can have the games on multiple devices with the same game progress.