We have studied experimentally Josephson effect in the crosslike S–N/F–S junctions driven in nonequilibrium by applying an injection current across the complex N/F weak link. The superconducting critical current upon increasing the injection current manifests the nonmonotonic behavior with two pronounced dips, which are supposed to be due to the double 0–π transition. The model taking into account the supercurrent-carrying density of states (SCDOS) of a S–N/F–S structure and spin injection into the N layer is developed to describe the observed effect.