A regeneration system includes a first module, a mode selection module and an adsorber regeneration control (ARC) module. The first module monitors at least one of (i) a temperature of a first catalyst of a catalyst assembly in an exhaust system of an engine and (ii) an active catalyst volume of the first catalyst. The mode selection module is configured to select an adsorber regeneration mode and generates a mode signal based on the at least one of the temperature and the active catalyst volume. The ARC module at least one of activates an air pump and cranks the engine to regenerate an adsorber of the catalyst assembly while the engine is deactivated based on the mode signal.