Although you can't tell in the screenshot, all of their sludgey parts are animated, Muk's clothing, as well as both of their hair. This is similar to the previous version of them, but tweaked a bit - different color, animation speed, and most importantly, actual outline / line work. I realized the textures tend to blend together without the lines and with the Material Edit shader used, it eliminates the lines. However, there's a quick way to bring the line work back.
First, with any Shader effects that remove the line work, first modify it however you want, then simply give them a higher priority, then duplicate via Copy Material. You then should have two templates of the Shader, in this case, Dual Scroll. Restore one of the shaders to the original template for the accessory, then lower it's priority.
The texture effect will remain, but the line work will return. Easy.
Also, Dual Scroll was used in favor of Texture Scroll, as the latter has a built in specularity that doesn't look very good.
Oh, and some experimentation with this one. Muk's hands are much, much larger. And for her outfit, I used a bit of creativity because there were some issues I didn't want to work around. Actually, you can see above that her bra texture is broken. This may not be the case in your version, depending on how updated your game is, but I think it looks good with it. Almost like, torn clothing. Like the sludge is eating away her clothing, or something.
Anyways, if you would prefer the regular hair, let me know. I'm unsure on it, honestly.
Enjoy!