We give a geometric realization of cohomologically induced (\mathfrak{g},K) -modules. Let (\mathfrak{h}, L) be a subpair of (\mathfrak{g},K) . The cohomological induction is an algebraic construction of (\mathfrak{g},K) -modules from a (\mathfrak{h},L) -module V . For a real semisimple Lie group, the duality theorem by Hecht, Mili{\v{c}}i{\'c}, Schmid, and Wolf relates (\mathfrak{g},K) -modules cohomologically induced from a Borel subalgebra with {\mathcal D} -modules on the flag variety of \frak{g} . In this article we extend the theorem for more general pairs (\mathfrak{g},K) and (\mathfrak{h},L) . We consider the tensor product of a {\mathcal D} -module and a certain module associated with V , and prove that its sheaf cohomology groups are isomorphic to cohomologically induced modules.