Compositions are provided comprising A) at least one polymer selected from the group consisting of aromatic polycarbonate and aromatic polyester carbonate, B) at least one mixture comprising at least one butadiene-based graft polymer prepared by emulsion, suspension or solution polymerization and at least one polybutadiene-free vinyl (co)polymer, and C) at least one polymer additive, where the polybutadiene content based on the sum total of the parts by weight of components A and B is 10% to 20% by weight, and where the total content of butadiene-free vinyl (co)polymer from component B based on the sum total of the parts by weight of components A and B is 12% to 23% by weight. Composite components formed from these compositions and a polyurethane layer, which are notable for improved adhesion between the two layers, and a process for producing the composite components are also provided.