When running a backup from Litespeed UI or script to TSM, it uses a API and send the files to the TSM file system.
You will be able to restore the backup files and also see the file names on the User Interface (UI), LiteSpeed has an API to communicate with TSM Server, however you cannot see the backup files on its destination, they are all in the TSM file system.
* API: Application Programming Interface: API is any interface that enables one program to use facilities provided by another, whether by calling that program, or by being called by it, is also a set of functionality delivered by a program system. LiteSpeed and TSM are integrated via API.
For additional information, see:
https://support.quest.com/SUPPORT/index?page=solution&id=SOL25577