A hybrid dispenser apparatus for dispensing liquid soap, lotion or other liquid, the dispenser apparatus comprising: a housing and a cover movably connected to the housing such that the housing and the cover define a volume for holding a liquid material container (20, 22); an electric motor disposed in the housing; a pump connectable to the liquid material container (20, 22) to dispense liquid from the container (20, 22); and an actuator mechanism (30, 34) operatively associated with the pump to dispense liquid from the liquid material container (20, 22) in response to either movement of the cover or operation of the electric motor disposed in the housing, the actuator mechanism (30, 34) comprising: a first actuator structure movably mounted relative to the housing and responsive to engagement by and movement of the cover to move relative to the housing; and a second actuator structure mounted for vertical slidable movement on a module, the second actuator structure engaging the pump and movable relative to the pump and to the housing; wherein the second actuator structure is engaged by the first actuator structure and is responsive to movement of the first actuator structure caused by movement of the cover to actuate the pump and dispense liquid from the liquid material container (20, 22); and wherein the electric motor is operatively associated with the second actuator structure such that the second actuator structure is configured to be moved by the electric motor to actuate the pump and dispense liquid from the liquid material container (20, 22). a housing and a cover movably connected to the housing such that the housing and the cover define a volume for holding a liquid material container (20, 22); an electric motor disposed in the housing; a pump connectable to the liquid material container (20, 22) to dispense liquid from the container (20, 22); and an actuator mechanism (30, 34) operatively associated with the pump to dispense liquid from the liquid material container (20, 22) in response to either movement of the cover or operation of the electric motor disposed in the housing, the actuator mechanism (30, 34) comprising: a first actuator structure movably mounted relative to the housing and responsive to engagement by and movement of the cover to move relative to the housing; and a second actuator structure mounted for vertical slidable movement on a module, the second actuator structure engaging the pump and movable relative to the pump and to the housing; a first actuator structure movably mounted relative to the housing and responsive to engagement by and movement of the cover to move relative to the housing; and a second actuator structure mounted for vertical slidable movement on a module, the second actuator structure engaging the pump and movable relative to the pump and to the housing; wherein the second actuator structure is engaged by the first actuator structure and is responsive to movement of the first actuator structure caused by movement of the cover to actuate the pump and dispense liquid from the liquid material container (20, 22); and wherein the electric motor is operatively associated with the second actuator structure such that the second actuator structure is configured to be moved by the electric motor to actuate the pump and dispense liquid from the liquid material container (20, 22).