  Let $A$, $B$ and $C$ be associative rings with identity. Using a result of
Koenig we show that if we have a $\mathbb{D}^{{\rm{b}}}({\rm{{mod\mbox{-}}}} )$
level recollement, writing $A$ in terms of $B$ and $C$, then we get a
$\mathbb{D}^-({\rm{Mod\mbox{-}}} )$ level recollement of certain functor
categories, induces from the module categories of $A$, $B$ and $C$. As an
application, we generalise the main theorem of Pan [Sh. Pan, Derived
equivalences for Cohen-Macaulay Auslander algebras, J. Pure Appl. Algebra, 216
(2012), 355-363] in terms of recollements of Gorenstein artin algebras.
Moreover, we show that being Gorenstein as well as being of finite
Cohen-Macaulay type, are invariants with respect to
$\mathbb{D}^{{\rm{b}}}_{{{\mathcal{G}p}}}({\rm{{mod\mbox{-}}}})$ level
recollements of virtually Gorenstein algebras, where
$\mathbb{D}^{{\rm{b}}}_{{{\mathcal{G}p}}}$ denotes the Gorenstein derived
category.
