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