I'm not overly familiar with the phosphate chemistry, but the nitrate part works by growing an anerobic bacteria that feeds off methanol. This particular bacteria converts nitrate to nitrogen gas. It simply is a tank with eggcrate to support the slimy white bacteria and a dosing pump to deliver the methanol. Very simple. It also comes with a pump that is used to flush this "reactor" tank once the bacteria has done it's thing. I think the small reactor tank is about 30 gallons from NatuReef, and not sure of the big one......I was considering the small one for my 90G DT. And it is controllable to maintain your nitrates/phophates at whatever level you wish to maintain.
If you search hard enough you'll find DIY threads. I too am not overly impressed with the apparent quality/finish of the actual NatuReef system...for what you pay. But it does work!
And you're right about finding information about the system....I think it would be easier to find the Ark of the Covenant than NatuReef information.