Leaves and shredded paper are also helpful additives, and they will both boost the carbon levels of the overall mixture. The carbon is your organic matter and the future fluffy stuff
I find it's good to layer shredded paper and dried leaves on top of the soil surface and then continue layering greens (i.e. manure, kitchen scraps) and browns (i.e. woodchips, more leaves) until you have at least a good 4 inches or so of layering.
The thing I have found is that it takes a lot more carbon (browns) than one might think to get things to compost really nice and fluffy in place. If I mistakenly rely too heavily on greens (i.e. manures, kitchen scraps, fresh chop-and-drop) it seems like it disappears by the end of the first season because it burns up so fast.
As someone else mentioned, moisture is helpful, too. It helps to wet down the layered stuff on top of the soil. Over time, those layers will begin to breakdown and compost together, and they will be able to hold moisture pretty well on their own at that point.
I try to think about it in terms of a forest floor, if that makes sense.
Hopefully, this helps some.