Do you have access to straw? Some of our best compost heaps contained the used straw bedding from the rabbit hutches. Each piece of straw is a hollow tube and provided good air circulation. We did the layers of brown (leaves and straw), green (garden trimmings), adding a shovel full of manure and a handful of native soil with each layer. We usually let nature water the compost and turned it often. Ours was a 3-bin type. We didn't use newspapers or sticks/branches because we learned from experience that made it too hard to turn.