Examples of hybrid powertrain systems are provided herein. The system includes: an engine; a motor/generator (“MG”); a clutch coupled to the engine and the MG; a transmission coupled to the MG; an energy storage system connected to the MG; and a controller coupled to the engine, the MG, the clutch, the transmission and the energy storage system. The controller is configured to initiate an engine stop, allow engine torque and MG torque to reduce to zero or near zero, shift the transmission to a neutral gear, cause the MG to operate in a generator mode, thereby loading the engine to recover kinetic energy from the engine, disengage the clutch to decouple the MG from the engine, increase the speed of the MG to a target speed, and shift the transmission into gear in response to the MG reaching the target speed.