For a fixed percuspidal subgroup $P=MAU$ and a fixed finite spectrum $\Gamma$-module $V$, the associated spectral sequence for the fibration $$U/\Gamma\cap U \rightarrowtail {}^{\circ}P\to M/\Gamma_M$$ converges and the cohomology group $H^*(K_M\backslash {}^{\circ}P/\Gamma\cap P; V)$ is isomorphic to the direct sum of $E_2$-terms. Every cohomology class of this type can be represented by an $V$-valued automorphic form. The restriction map sends the cohomology classes at infinity of $H^*(\Gamma; V)$, represented by singular values of the associated Eisenstein series to the cohomology classes of the boundary $\partial(\overline{X}_{cusp}/\Gamma)$, compatible with its weight decomposition. All together these give us a decomposition of the cohomology of Langlands type discrete groups into the cuspidal and Eisenstein parts.