FYI! If someone is having the same issue btween the mesh's movement and the bone's movement:
"Hi Arten!! I was with the same problem. The issue is the name of the bones. When you genareted automatic names for the right side of the armature then became somethhing like this "Leg.001.L.001.R". This is the real cause of the issue, Blender haved some problems to identify this object data. I renamed all of the right side bones and applyed the armature modifier. This resolved the issue completly. I hope I was to helped you! Sorry for the bad English, I'm still learning. Bye!"