Cofiniteness of generalized local cohomology modules over local rings

Let (R, m) be a local commutative Noetherian ring and I an ideal of R. Assume that M is a finitely generated R-module of finite projective dimension p and N is a finitely generated R-module of dimension d. We prove that H-m(1)(H-I(p+d-1)(M,N)) is Artinian. Moreover, if Hom(R)(R/I,H-I(p+d-1)(M,N) is finitely generated, then H-I(p+d-1)(M,N) is an I-cofinite R-module.