This study proposes a scheme to enhance long-distance quantum entanglement between magnons and phonons in a cavity-magnon and cavity-optomechanical hybrid system. In this protocol, two microwave cavities are directly coupled, with one coupled to phonons via the optomechanical effect and the other to magnons via a magnetic-dipole interaction. By adjusting the frequency detuning between the microcavities and magnons, as well as the cavity-magnon, optomechanical, and cavitycavity coupling coefficients, and the Kerr nonlinearity coefficient, the degree of entanglement between magnons and phonons can be improved. Moreover, the entanglement between magnons and phonons shows a certain degree of robustness against changes in environmental temper-ature, which has both theoretical and practical significance for constructing magneto-acoustic sen-sors, processing quantum information, and achieving quantum storage.