We theoretically propose a scheme for the generation of $n$-phonon and photon-phonon pair bundle emissions in a cavity magnomechanics system. By utilizing the Barnett effect under resonant driving, $n$-phonon and photon-phonon super Rabi oscillations can be achieved. Through the system's dissipative channels, the intracavity multiquanta states are released as bunched $n$-phonon and photon-phonon pair emissions. These different bundle emissions can be readily controlled via the Barnett effect, allowing the desired functionality to be selected simply by tuning the direction of the static magnetic field. Featuring high purity, compactness, and flexible controllability, our system holds great promise for applications in quantum information processing and on-chip quantum communication.

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• Cavity magnonics
• Quantum communication