Many template frameworks completely override the Joomla! core functionality on how templates work and how they are controlled.
Advanced Template Manager relies on the core functionality, therefore the following (and maybe other) template frameworks are NOT compatible with Advanced Template Manager:
- Astroid Framework
- Gantry (RocketTheme)
- Helix (JoomShaper)
- JoomlaXTC
- RSJoomla
- T3 (JoomlArt)
- YooTheme Framework