Looking at the photos and hearing some of the comments I'd say this a/c was definitely being pushed around a corner.
I'd say the driver got the turn all wrong and ended up stopping the tug almost under the Captain at 90 degrees to the tow bar with the a/c nose wheel pretty much pointing straight ahead. Probably not much of an issue with the correct tug but as has already been pointed out this tug was not rated to push the A380.
If by this time, a couple of engines were already started, and because the tug was too light and at an angle, the a/c moved forward under its own power. The tug would've been unable to stop it. This would also explain to front tyre being rolled under and, as the front right of the tug contacted to tow bar, would explain the bend in the bar also.
All in all a rectum tightening experience.
The lesson here; don't use an under rated tug.
Just my thoughts, happy to be corrected.