The next generation of oscillation experiments will require considerable efforts towards more precise modeling of neutrino cross sections. In this context, neutrino-interaction theory is in the position to play a pivotal role in the success of the experimental program, providing accurate predictions and meaningful theoretical uncertainties. There is ongoing progress in lattice QCD, effective field theories and phenomenological models. It is bound to have a direct impact in planning, running and analyzing future experiments, maximizing their discovery potential.