The texture editing for bears isn't working. The texture is applying to the bear, but not in the right format. Here is what my panda looked like (all I changed was a bit around the eyes):
I found a fix for the bears! I went looking in the mod itself to see what it used for the bear texture, and the image has a white box over to the side. It will not work if you do not include the box! Here is the default texture for the panda:
Just paste the saved version of your texture over the left part of the image, and place where you would any other mo' creatures texture. Remember to include the chest (it isn't included in the model on here) if you want it to appear normally in game.