• First off why do your users have access to backup the database? I would strongly recommend reviewing your permissions and working from the ground up on least amount of permissions to do the users job using roles for ease of ongoing support.

    But you can deny backup database on a particular database to a particular user or role by running DENY BACKUP DATABASE TO <login>|<rolename>

    But remember if they have sysadmin rights you cant stop them from doing anything.