Selling a Ruger Mark II .22 lr on consignment

Around here that will cost $35 to $50, just to get your property back.
but if the gun was sold, will dealer still need to do 4473 form or background check for me ? I don't think so, they should do it to the buyer not me ,right? if they sold the gun on Gunbroker, they should ship the gun to buyer's FFL , that FFL will do before buyer pick up the gun.