Since mosfets are basically an electronic on -off switch, a simple sine wave oscillator is not much use to them. It's done by comparing a sine wave to a triangle/saw tooth wave. This is then used to drive the mosfets in a on/off pattern, similar to a PWM signal.
If the mosfets were just using a sine wave to drive the gates, they would spend too much time in the linear region. This would cause them to heat up and die, very fast.
Here is a good college thesis on inverters, and the link.
https://www.google.com/url?sa=t&rct...0Au0ipm_kcr6T4GzoW6tc1w&bvm=bv.48705608,d.aWc