How big is your coop and how many chickens do you have?
Is the plywood painted (I would paint it), add PDZ, and just some shavings. The painted floor (we used KILZ Complete) keeps anything from absorbing into the plywood and easier for cleaning. The PDZ dries up the poo making it easy to scrape out with a putty knife (I throw poo into a bucket). I use less shavings during the summer with all the heat, but do put it in the nesting boxes, and some under their roost.
A poop board under their roost would help a lot (again, sprinkle it with PDZ).