be a recollement of abelian categories. Suppose that we are given two cotorsion pairs
(U′,V′)
and
(U′′,V′′)
in
A′
and
A′′
, respectively. We construct two cotorsion pairs
(⊥NV′′V′,NV′′V′)
and
(MU′′U′,(MU′′U′)⊥)
in
A
. Moreover, we provide a sufficient condition for these two cotorsion pairs to coincide, and we investigate the heredity and completeness of
(MU′′U′,NV′′V′)
. These results are applied to construct new cotorsion pairs in Morita rings. In the course of proof, we introduce a specific constraint on recollements of abelian categories, requiring
εP
to be a monomorphism for any projective
P∈A
, with
ε:j!j∗→idA
being the counit of
(j!,j∗)
. Such recollements enjoy rich homological properties and hence might be of independent interest.