\begin{abstract} Let $(R,\fm)$ be a commutative Noetherian local ring and $M$ a finitely generated $R$-module with $\Dim M=d$. It is shown that $M$ is a sequentially generalized Cohen-Macaulay module if and only if the local cohomology modules $H_{\fm}^j(M)$ are either of finite length or generalized co-Cohen-Macaulay of Noetherian dimension $j$ for all $0\leq j\leq {d-1}$. \end{abstract}
