It is not recommended to use Terminal Services to log into an endpoint and run the Remote Backup software remotely. However, many do it, and find out that a new instance of the RBS endpoint software starts for every Terminal Services session.
The way to avoid this is to install the Remote Backup endpoint as a Service rather than as an application (the default installation method.)
To install the Remote Backup endpoint as a service, see the following Knowledge Library article:
RUNNING THE REMOTE BACKUP CLIENT AS A SERVICE http://help.remote-backup.com/index.php?_m=knowledgebase&_a=viewarticle&kbarticleid=275