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It looks like Ghoul skin for the fleshy bits, and a bleached bone over fortress gray for the carapace.
Reds for the muscle connecting the flesh to the carapace. Not sure what to use with the ghoul skin though sorry.
Eh, that looks to me like a lot of Skull White, Bleached Bone, Kommando Khaki and maybe even rotting flesh.
The inner red would probably be a basecoat of Mechrite Red with red gore and/or scab red.
Eyes could probably be done with Tausept Ochre with Golden yellow or something like that.
These of course are just my first ideas, so don't immediately go with what I just said =p .
Edit: One thing to note though, on the DoW II army painter, it says what color it is your using on that bit. So you will know at least the last color to use.