  Let $(\mathcal A, \mathcal B, \mathcal C)$ be a recollement of extriangulated
categories. In this paper, we provide bounds on the coresolution dimensions of
the subcategories involved in $\mathcal A$, $\mathcal B$ and $\mathcal C$. We
show that a hereditary cotorsion pair in $\mathcal B$ can induce hereditary
cotorsion pairs in $\mathcal A$ and $\mathcal C$ under certain conditions.
Besides, we construct recollements of abelian categories from a recollement of
extriangulated categories with respect to the hearts of cotorsion pairs.
