The librons in mixtures of ortho- and para-hydrogen are studied using the coherent potential approximation (CPA) by extending our previous work. The orientations of ortho-molecules in the vicinity of para-hydrogen defects are determined self-consistently and the influence of the tipping effect on the harmonic coupling parameters is calculated. Further effects of the libron anharmonicities are taken into account by fitting the harmonic coupling parameters to the anharmonick=0 frequencies of Coll and Harris for the pure solid. Numerical results for the overall density of states and the density of states of the threek=0 modes are presented for various concentrations. When compared with corresponding results in the averaget-matrix the present work is generally found to be more satisfactory. We show however, that a clear understanding of the modes in hydrogen mixtures requires an improved treatment of the concentration dependence of the cubic anharmonicities and hence an extension of the CPA to anharmonic systems.