Wow-heroes does not pull information about character directly from the game, so only official info that we approve is from the Blizzard armory. Your character is in balance spec and gear at the moment so unfortunately we can not help you with "live" update for resto spec.
If you want to update your resto gear you need to :
- be logged off from the game in resto gear and spec
- wait for Blizzard armory to recognize and update your resto gear and spec
- when armory have your resto gear updated you have to use "live" button at wow-heroes character page