  Let $G$ be an abelian group with identity $e$. Let $R$ be a $G$-graded
commutative ring and $M$ a graded $R$-module. In this paper we will obtain some
results concerning the graded generalized 2-absorbing submodules and their
homogeneous components. Special attention has been paid, when graded rings are
graded gr-Noetherian, to find extra properties of these graded submodules.
