To connect your site achievements with Badgr the first step required is to grant access to your site to your Badgr account, you will find the settings on your WordPress admin area navigating to the GamiPress menu -> Settings -> Add-ons tab -> Badgr -> Authorization.
The first time you enter to this screen you will see the Authorization Status row as Not connected.
After fill all the details required and clicking on the Authorize button this status will change to Connected if the connection with your account has been possible.
Note: Account without password (logged through an external account like Google or Facebook) are required to enable password to make this authorization possible.
On get your site connected with Badgr, you can import your badges from Badgr with the tool included on the same settings box.
The next step could be create some achievements and sync them with Badgr.