ok, I took a look at your photo and did some testing.
It looks like the issue is with that armature rather than the object itself.
The only way I was able to duplicate your issue was to rotate the armature and export them without applying the rotation to the armature. when loaded into dbpro the bounding box fit to the armature rather than the object.
exporting an object with no armature had no issues, whether I applied rotation to it or not, and exporting an object with an armature had no issues if I applied rotations to the armature before exporting.
I applied the rotation to the armature before I parented the object to it. this may or may not make a difference, further testing would have to sort it out.
sorry I had a bunch of screen pastes of my tests, but photoshop decided to stop responding before I saved out the compilation. I suppose I could reproduce the testing if you need.
So, I would try to apply rotation to the armature and re-export, if that doesn't fix it, I would un-parent it, delete all vertex groups, apply rotations to the armature and then reparent it clean and re-export.