<p>This paper investigates the entanglement and quantum steering of an hybrid quantum system consisting of a pair of initially entangled atoms interacting inside a cavity in the presence of a magnon field and an external classical field. By solving the system using the master equation, the density operator of the total system is obtained. Using negativity and the Einstein-Podolsky-Rosen steering criterion, the time evolution of entanglement and steering between the two atoms as well as between the cavity field and the magnon are calculated. Our results show that the entanglement and steering between the atoms can be controlled by changing the coupling of the external classical field and the cavity-magnon system, where increasing them leads to the improvement of both steering and entanglement behaviors. On the contrary, increasing the cavity-magnon coupling weakens both the steering and entanglement between the fields, while adding the external classical field leads to increasing the field system’s randomness. We also observe that adding the surrounding environment destroys the entanglement and steering between both the atoms and the fields. Furthermore, bidirectional steering between the atoms contrasts with one-way steering of the fields, contingent upon system parameters.</p>