Problem with animated rigid body

so i have this problem where rigid body doesn’t seem to respond to each other when animated
but when its off everything seem to work ok but i need the animated feature to work on other complex project so what is their problem
thanks in advance for anyone who’ll help me problem.blend (483.9 KB)
edit :
what i am trying to archive in my other project is a way for two rigged object from same armature to collide with each other as the project submitted above is an experiment to archive it
edit2:
basically how can i have an animated rigid body collide with either a non animated rigid body or animated one

never mind seem like its impossible to do with blender i thought it would be like maya or something