Magnetic Tunnel Junction-based molecular spintronics devices (MTJMSDs) hold great potential for integrating paramagnetic molecules with ferromagnetic electrodes, creating a diverse array of metamaterials with novel magnetic behaviors. Understanding interactions, especially between molecules and electrode materials, is essential to advancing this field. In this study, we used Monte Carlo simulation (MCS) to examine the influence of Dzyaloshinskii-Moriya interaction (DMI) on the MTJMSDs. Our simulations reveal that the presence of DMI interaction significantly lowered the magnetization of the ferromagnetic (FM) electrode. This DMI effect on the FM electrode provides a potential mechanism to explain the experimental observations of losing magnetic contrast on one FM electrode of the MTJMSD. A cross-junction-shaped MTJMSD, where several thousands of paramagnetic Octametallic Molecular Complexes are covalently bonded between two FM electrodes along the junction edges, exhibited loss of magnetic contrast on one ferromagnet in MFM imaging. DMI's impact on FM electrode properties resembles the experimental observation on MTJMSD. Our MCS showed that the strong DMI induced alternating magnetic bands aligned in opposite directions on a ferromagnetic electrode. Molecule bridges transported the effect of the DMI-induced magnetic phases onto the FM electrode connected to the other end of the molecule. For the specific range of DMI, the direction of magnetization of the FM electrode present on the other end of the molecular channel could switch based on the nature of the DMI-induced magnetic phase present in the junction area. This study underscores the importance of antisymmetric interactions, like DMI, in influencing the magnetic properties of MTJMSD systems. In future MSD experimental studies, DMI on FM electrodes can be achieved using suitable molecule-FM interfaces or multilayer FM electrodes harnessing spin-orbit coupling. MTJMSD test bed provides excellent opportunities for creating unprecedented strong molecule-FM electrode coupling and using multilayer electrodes.