I do lasagna method on my raised beds, heaping layers of compost separated by sheets of newspaper, wetting it all with hose then more layers. My layers are free materials: huge bags of coffee grounds from Starbucks, bags of dried chicken manure from a chicken hobbyist, shredded leaves (no raking, run over them with mower that has a bag attachment) from my backyard trees. No tilling, the worms do it. Also I do not cover with atarp because rainwater is important ingredient.