An induction moter and a induction generator are the same mechanical device.
It is a motor if run from the power line and becomes a generator if run from an engine, however as a generator IT MUST BE CONNECTED TO AN OPERATING ELECTRICAL SYSTEM IN ORDER TO OBTAIN A REQUIRED SOURCE OF INCOMMING REACTIVE POWER FOR FIELD EXCITATION. It can only take or deliever power from the operating system, It cannot control frequency. Typically at 60 hertz, the true system synchronous speed (4 magnetic pole machine) is 1800 RPM but note that the motor namplate will show the motor speed to be around 1750 RPM and when this this motor is forced to run at 1850 RPM it becomes a generator
A Synchronous motor / generator is also the same but mechanically different from an induction machine and always runs at exactly the same speed as the system frequency (1800 RPM is 4 pole) and obtains it's field from an external source (generally a small second DC generator)
A synchronous generator does not require any outside electrical power connection
Raising or lowering the mechanical energy into the synchronous machine does not change the RPM but will control the amount of KW generated.
Raising or lowering the amount of field excitation will control the reactive components, ie power factor / phase angle. A synchronous generator can supply a leading phase angle (like a capacitor) where as an induction generator cannot.