Emergence and effective mass of magnon-cooparons.-We consider a bilayer as depicted in Fig. 1(b), in which a ferromagnetic insulator FI (e.g., yttrium iron garnet) is interfaced with a conventional spin-singlet s-wave superconductor S (e.g., Nb). The two layers with thicknesses d FI and d S ( ξ S , the superconducting coherence length) are considered thin such that physical properties