Some simple facts to explain why it works:
1. Garbage contains a lot of energy (hydrocarbons in plastics, rubber, food, paper, etc).
2. Garbage contains some metals (aluminum, iron, copper, zinc, nickle, etc).
3. Garbage contains a far amount of inert material (earth, ceramics, etc).
So, you run everything through a big grinder, feed the dust to an electric torch which turns it into plasma, which of course breaks all those fancy compounds down into simpler elements:
1. Hydrocarbon gas - synthgas (methane like stuff).
2. Steam -- the water trapped in plant materials mostly (grass clippings, banana peals, stuff like that).
3. Metallic gas - which you can optionally separate by element if you have the right equipment.
4. Slag - inert silica mostly, mixed with other crud (which you can use as building materials).
Important thing to remember is the electric torch doesn't burn the garbage -- burning is inefficient and pointless. You want to separate all the various elements so you can make efficient use of them:
1. The hydrocarbons are pull off as synthgas, which you use some of to run a generator to power the torch and the surplus you sell to a conventional natural gas power planet for profit!
2. The steam which you separate and sell to as heat for commercial or residential use.
3. The metals you sell as scrap -- either high or low quality depending on your ability to separate the elements from the plasma.
4. The silica slag you can mold into pavers while it's still hot, or spin into a ceramic like wool as insulation, or into black pebbles as ground cover or whatnot.
The process has a number of advantages:
1. It is profitable -- it produces more energy than it consumes.
2. It's low tech -- you can set up the facility inside the garbage dump and avoid shipping the garbage around.
3. It sterile -- it consumes medical waste, contaminated material, toxic junk as readily as normal waste and it reduces it all to simple lemony fresh clean compounds (makes the birds sing). You can't feed it radioactive material obviously, as that would foul up the works.
4. It's happy -- converts garbage back into useful things.
Biggest obstacle has been the patents on the process which expired a year or two ago. Rejoice, garbage is the new valuable resource!