A homogeneous catalyst system is removed from a reaction mixture of two liquid phases by separating the two liquid phases with a membrane having at least one separation-active layer in such a way that the homogeneous catalyst system is at least partially concentrated in a membrane retentate; wherein the reaction mixture contains at least one partially epoxidized cyclic unsaturated compound having twelve carbon atoms; and wherein the membrane separation-active layer contains crosslinked a silicone acrylate and/or polydimethylsiloxane and/or polyimide.