In this study, we investigate the neutron-rich even-even isotopic chains of \(_{20}^{48}\) Ca and \(_{28}^{56}\) Ni, where nuclear structure has been extensively examined near the line of stability. Particular attention is given to the role of monopole interactions between the magic core and the valence neutrons. Spectroscopic calculations–covering excitation energies \((2^+, 4^+)\) and electric transition probabilities B(E2)–are carried out using the NuShellX@MSU code. To enhance theoretical predictions, we modify the monopole neutron–neutron components of two well-established interactions: ho for the calcium region and jj44pna for the nickel region. These adjustments lead to new effective interactions, denoted hom and jj44am, respectively. The modified interactions show an agreement with experimental observations.