The existence of dark matter and its properties have long been extensively studied in the past few decades. In this study, we investigate the emission of neutrinos and photons from neutron stars (NSs) by employing the modified theory of gravity and the corresponding Tolman-Oppenheimer-Volkoff (TOV) system of equations. The extreme matter density and magnetic field inside NSs provide a unique laboratory for studying fundamental physics of extreme high density matter, including the interplay between gravity and quantum field effects. The impact of a strong magnetic field has also been incorporated into the corresponding TOV equations. We here attempt to see how neutrinos and photon emissions from compact objects, such as NSs are impacted by employing the modified TOV equations due to modified theories of gravity, like f(R, T) gravity or scalar-tensor theories and strong internal magnetic fields. Our analysis focuses on how these modifications influence the structure and cooling of NSs mainly through neutrino and photon emissions.