Any smallish branches w/ leaves & pine straw can go in run portion. Also leaves & pinestraw from your property can go in run & coop.
I use shredded paper & cardboard as well. Leaves in nest boxes.
Our 21 acres of sand stank to high heaven when it rained. Property had been monocropped. In 2015/2016 - when it rained, smelled combo of animal & chemical (not our animals). Often made family & friends ill.
Chicken DLM & tractors over sand have helped immensely. Several free ranged or poultry fenced flocks lost to stray dogs, hawks, owls, coyotes & possibly raccons. Tractors over waste hay & pony manure spots, hay always put in new spots. Sand slowly turning into friable, usable, plantable soil. No more stinky sickness.
Can you tell I'm not a fan of sand?
Edit to add - we are in sandhills of NC. Property straddles 2 counties.