  We introduce equivariant twisted cohomology of a simplicial set equipped with
simplicial action of a discrete group and prove that for suitable twisting
function induced from a given equivariant local coefficients, the simplicial
version of Bredon-Illman cohomology with local coefficients is isomorphic to
equivariant twisted cohomology. The main aim of this paper is to prove a
classification theorem for equivariant simplicial cohomology with local
coefficients.
