Abstract: To dispose of a dewatered collected product consisting predominantly of cellulosic materials in a solids phase and a residue consisting predominantly of plastics in wastepaper recycling, the collected product is dried to at most 25% weight percent moisture content as based upon the solids and is then layered onto an oscillating grate. The residue is applied as a second layer on the first layer and the resulting two-layer bed is burned on the grate with bottom-blowing with slag formation and collection. The heat content of the combustion gas can in part be recovered by the generation of steam.