Cavity magnomechanics has gained the significant attention recently due to its enormous potential for use in the construction of highly adaptable hybrid coherent information processing systems, magnon switches and force sensors etc. In particular, when the system becomes hybrid due to the coupling between magnons, photons and phonons, the dynamics of magnonic systems can lead to potential applications in quantum computation and quantum information processing. Several interesting phenomena have been observed since past few years, including bistability, optical cooling, fano resonance, absorption spectrum, four wave mixing, entanglement and the control of far-off spin current. In specifically, the phonon-magnon, photon-magnon and photon-magnon-phonon interactions are introduced and observed in the cavity magnomechanical system, which is composed of magnons in a single-crystal Yttrium iron garnet (YIG) sphere that is tightly linked to the cavity mode. The main aim of our proposal is to study the non-linear behavior of a hybrid quantum magnomechanical system consisting of photon-magnon-phonon interaction. This leads to the phenomenon of bistability applicable for switching applications. This study will also lead us to understanding the phenomenon of force sensing and quantum information processing. Therefore, we propose to make systematic and comprehensive theoretical study that would be helpful in understanding the quantum magnomechanical system and that would provide experimentalists to test the results leading towards the potential hybrid platform for quantum technologies, like quantum memories, force sensing etc. The main objectives of the proposal include, 1. To study the magnon-photon interaction via magnonical cavity system for Fano-resonances and Four-wave mixing processes. 2. We will study the spectral density of the added noise which is used to quantify the sensitivity of the force measurement. 3. To study the interaction of photon and magnon in order to study the magnon bistability and absorption spectrum for the application of efficient optical switches. Our proposal on cavity magnonics will yield results with significant technological advantages that could lead to new applications in the field of optical switching, force sensing and quantum information processing technology.