  We prove that if a positively-graded ring $R$ is Gorenstein and the
associated torsion functor has finite cohomological dimension, then the
corresponding noncommutative projective scheme ${\rm Tails}(R)$ is a Gorenstein
category in the sense of \cite{EEG}. Moreover, under this condition, a (right)
recollement relating Gorenstein-injective sheaves in ${\rm Tails}(R)$ and
(graded) Gorenstein-injective $R$-modules is given.
