  In this article, we prove that if $(\mathcal A ,\mathcal B,\mathcal C)$ is a
recollement of extriangulated categories, then torsion pairs in $\mathcal A$
and $\mathcal C$ can induce torsion pairs in $\mathcal B$, and the converse
holds under natural assumptions. Besides, we give mild conditions on a cluster
tilting subcategory on the middle category of a recollement of extriangulated
categories, for the corresponding abelian quotients to form a recollement of
abelian categories.
