[Closed] Copy animation when bones are not aligned

I have a bunch of animated boxes which are used as bones in a skinned character. What I would like to do is to copy that animation to another character which also has boxes as bones. Problem is that the local rotations of those boxes are not the same in both characters. For example in t-pose, y-axis in first character head bone is facing forward, but in the second character it’s facing up. If I copy the bone transforms from the first character to another, animation and skin gets all messed up.

I don’t have any hierachies. Any ideas how should I do this?