So you just did a system wipe on your Android device, re-installed Google Authenticator only to find it empty.
Luckily you did a backup using your recovery software (e.g. TWRP).
/data
partition of your backup via your computers' archive software.
Please note that advanced settings are not supported by the Google Authenticator app yet: all advanced settings are ignored, and default values are used. Yubico Authenticator support these advanced settings.
In the Google Authenticator app, it will look something like this: