Lazar, here are the things I would check:
1. Admin->configuration->tpp config has Global enable tabs on (set to 1) and that something for global tabs was set to true (1) eg. Global Product Description tab.
2. If you have something set to Global tabs, and still no tabs on your product info page, I would make sure that the edited product info page is in the correct location. ~\YOURSHOP\includes\templates\YOUR_CUSTOM_TEMPLATE\templates
It sounds to me like something didn't get to the right place...