It is called Waste-To-Energy. It is how many municipalities satisfy their recycling requirement.
Waste To Energy plants must add Natural Gas to the furnace to keep the garbage burning. In reality, they would produce more energy by just burning the gas in a turbine. But then they would not be recycling.
What makes the whole thing economically viable is the tipping fees. WTE plants charge municipalities to dump their recyclables, and this money is what makes the plant run.
The difference between a Waste To Energy plant and an old-fashioned garbage incinerator is a matter of signage.
Sounds to me like the best way to deal with trash.
put it to work