When I craft a dog bed it defaults to a gray looking wood bed and under casing and bedding it says "nani?" Also, in my jei menu only one style of dog bed shows up. I assume I'm missing something that the mod needs? Or maybe it's conflicting with one of my other mods somehow? I do have a lot of other mods but I don't see how they would affect this mods access to bed textures?

"If you're using Fabric with Sodium, you need to also install Indium as well", from FAQ on mod's wiki. Finally noticed it.
So, yeah, that fixed it for me.

Same here. I thought that it has something to do with shaders, because I have issues with soy beans plant as well. When the shaders are turned off, the plant's planes become fully colored and look like a bunch of green squares until I turn the shaders back on. Though, beds don't change at all.