  Relations between Gorenstein derived categories, Gorenstein defect categories
and Gorenstein stable categories are established. Using these, the
Gorensteinness of an algebra $A$ and invariants with respect to recollements of
the bounded Gorenstein derived category $D^{b}_{gp}(A\mbox{-}{\rm mod})$ of $A$
are investigated. Specifically, the Gorensteinness of $A$ is characterized in
three ways: the existence of Auslander-Reiten triangles in
$D^{b}_{gp}(A\mbox{-}{\rm mod})$; recollements of $D^{b}_{gp}(A\mbox{-}{\rm
mod})$; and also Gorenstein derived equivalences. It is shown that the
finiteness of Cohen-Macaulay type and of finitistic dimension are invariant
with respect to the recollements of $D^{b}_{gp}(A\mbox{-}{\rm mod})$.
