We give an explicit formula for the correspondence between simple
Yetter-Drinfeld modules for certain finite-dimensional pointed Hopf algebras
$H$ and those for cocycle twists $H^{\sigma}$ of $H$. This implies an
equivalence between modules for their Drinfeld doubles. To illustrate our
results, we consider the restricted two-parameter quantum groups
${\mathfrak{u}}_{r,s}({\mathfrak{sl}}_n)$ under conditions on the parameters
guaranteeing that ${\mathfrak{u}}_{r,s}({\mathfrak{sl}}_n)$ is a Drinfeld
double of its Borel subalgebra.