To allow specific people to send specific badges, you can through the Recognize roles feature. In a nutshell, you'll create roles called anything you want (eg. executive, director, sales rep) and assign those roles to employees in the Accounts. From there, you can choose which roles can send which badges.
To start, go into Menu > Company Admin
1. Create a role
2. Add the role, or roles, to a user
3. Attach the role, or roles, to a badge and click Save badges Button
Now only that role can send that badge.