What could have been done to still make the snakes come out well
You're swimming upstream here. I don't know what kind of snake that is, but it looks like it's used to mimicking the plant. Instead of trying to make the snake stand out from the plant, consider framing the photo to take advantage of the snake's behavior. You might end up with a photo where the viewer doesn't see the snake at first, and then gets a surprise when they finally do notice it.
If you do want to make the snake stand out, I think I'd change the angle so that the green leaves are directly behind the snake. And I'd get closer (if it's safe) or crop (if it isn't) so that the snake and greenery pretty much fill the frame. As it is, the snake is hard to spot because both the snake and the leaves are put against a chaotic background of browns, greens, and yellows. If you had moved to the right a bit and zoomed in, it looks like you might've gotten the white underside of the snake against a mostly-green background.
Also, getting closer and using the largest aperture you can manage would've helped you to separate the subject from the background. If you'd moved as described above and used a large aperture, you wouldn't just have the white snake on a green background, you'd have a sharply-focussed white snake against a softly blurred green background.
Especially eyes of the snake were supposed to be more focused.
Nailing the focus when shooting a moving subject close up is tough. Taking lots of shots can help -- the more you take, the more likely it is that you'll get lucky. Using a smaller aperture will give you more room for error, but you'll lose some of that nice background blur that separates the snake from the background. Depending on what else is around, you might be able to use a smaller aperture (for more depth of field and easier focusing) and keep the blurred background by moving the camera closer to the ground, so that the shooting angle changes and the background is farther away and therefore still blurred despite the increased depth of field. A tripod can help you focus when shooting macro by eliminating z-axis (forward/backward) movement, but in this case the snake was probably too active for that.