  Let $G$ be a group with identity $e$. Let $R$ be a $G$-graded commutative
ring and $M$ a graded $R$-module. In this paper, we introduce the concept of
graded classical and graded strongly classical 2-absorbing second submodules of
graded modules over a graded commutative rings. A number of results concerning
these classes of graded submodules and their homogeneous components are given.
