Popa's deformation/rigidity theory led to a remarkable cocycle superrigidity theorem for Bernoulli actions of groups with property (T) (2005) and of products of non-amenable groups (2006). More precisely, Popa obtained that every cocycle for such an action with values in a countable (and more generally, in a $\mathcal U_{fin}$) group is cohomologous with a group homomorphism. In this talk, we will present a generalization of this theorem to coinduced actions.