Quakers are one of those Parrots that like a few twigs, Peat and wood shavings are ideal, but put the peat in first on the bottom of the nest box, this will prevent the eggs getting "lost" amongst other nesting materials.
Your quakers may enjoy being given some building materials. Tooth-pics, straws, and yarn are in the favourite's list. Don't just go outside, and start gathering things for nesting materials. Many things could be toxic to your fid. Pay close attention to germs, moulds, and additives. Materials from the wild, should be cleaned with a mild, bleach-water solution, then sun dried for several days. With the proper materials, your quakers may astonish you with his engineering know how.
natural wood shavings would do, you can buy those from pet stores you could put a few centimeters of this wood shavings and your quakers would arrange it on their satisfaction, they might toss out some of this sahvings out.