"Authorised" badges are credentials created by one user that have been delegated to be issued by another user.
As a Premier or higher member, you have the ability to grant one or more users the power to issue any of your badges. Any member can be authorised to issue your badges (those you authorise do not need to be Premier or higher accounts).
If you have been authorised to issue a badge by another user, you'll see your "Authorised" badges in the "My Credit" or "Our Credit" section of your account.
This feature is available to Premier and higher level members.