

With the Toyota kind, it’s both, but they have a special transmission/eCVT for it, rather than just bolting a motor to the driveshaft.
The motor’s also responsible for the engine gearing in that case.
The PHEV just uses a beefier motor, so it doesn’t need the engine to move the vehicle.
For Toyota, it’s both. Both the hybrid and plug-in hybrids use the same drivetrain, except the PHEV/Prime versions have more powerful motors, so they can power the car at higher speeds than their hybrid counterparts are. Honda’s newer hybrid/plug-in hybrid drivetrain uses something similar.
You’re thinking of the one Nissan uses in their cars. They have a similar setup to a diesel-electric locomotive (engine drives generator, which powers the motor to drive the wheels).