This work uses the Green function to model the emission spectra from a hybrid metal nanoparticle (MNP) coupled with a double quantum dot (DQD), considering higher-order plasmonic mode contribution. It calculates the quantum dot (QD) energy states and momenta, i.e., this work differs from other strong-coupling systems by considering the material entities. A Fano-shape spectrum is shown with peaks depending on interference between the fields with the DQD and MNP. A prominent effect of the pump field appears as it interferes with other fields (probe and MNP polarization field). The MNP–DQD distance and MNP radius control the peak height and its position in the spectrum. The importance of the probe field in controlling the peak frequency and its height is demonstrated. The transition energy with momenta controls the spectra. An approximated relation is presented. High strength in the DQD–MNP and a more strong contribution are obtained compared to QD–MNP.