I added hue&adjustment layer in photoshop but it doesn't show in character animator

Yeah, Character Animator doesn't see adjustment layers. And from a performance aspect, we probably don't want it to since it would be processing every pixel on every frame all the time. If you export your animation out to After Effects or Premiere, you could add the adjustment layer there, otherwise, you're best off changing the color of each layer.

My first inclination would be to apply the adjustment to the layers using merge, since CH simply can't process that info.