The tree texture's looking great, but all the trees seem to be blending into each other. Try having one "main" tree that has all the detail, and having the rest of the trees with less detail (mostly, just do fewer/no highlights). Depending on what you wanr your light source to be, you could also set them apart by having one side of each trunk lit, and the rest in shadow.

Grass: Having some grass blades overlap the character and tree roots should help. That can make even a solid green look like grass. Then, maybe add a few highlights here and there, not too much, just enough for it to read as "the green is grass." The grass isn't the focus, so you don't need to make every single grass blade visible.

Fur: The fur right now looks more like it's melting. Don't worry so much about showing strands of fur! You don't need to shade and highlight a bunch of strands or locks of it to make it look like fur. Instead, break up your shadow boundaries with locks and hairs ("dither" with hair shapes). On the bottom edge of the creature, have some hair hanging off (remember that there's the ground there, so it would probably be lying on it). Just as with grass, you don't need to have every fur strand visible for it to read as fur.
Here's an edit showing two different fur lengths done with the method I described, short in the front, long in the back:

At first I did the two lengths just as a demonstration so you could see how it works in multiple situations, but then I remembered that most animals have shorter hair on their face (so it doesn't get in the way of their eyes, nose, and mouth), and longer hair elsewhere (for warmth/protection), so it worked out well xP
Your colours were a pleasure to work with! Definitely a step up from the brighter version.

The creature's mouth seems asymetrical. Based on where the teeth are, I think the back part needs to go in a little bit more.