The paper explores the possibility of Lorentzian wormholes (WHs) in the context of Rastall–Rainbow (R–R) gravity theory, which combines the Rastall and rainbow theories. The authors construct models that admit static wormhole geometries based on dark matter halo profiles, as previously demonstrated by Rahaman et al. (2014). They analyze the properties of these wormholes using three different halo density profiles: Navarro-Frenk-White (NFW), Thomas-Fermi (TF), and pseudo isothermal (PI). The main findings indicate that such wormholes could potentially exist, but the null energy condition (NEC) is violated near the wormhole throat. The stability of the configurations is examined through the adiabatic sound velocity, which shows that the solutions are stable under certain conditions. The study concludes that while WHs in dark matter galactic halos are possible, more astrophysical data is needed to confirm their existence.The paper explores the possibility of Lorentzian wormholes (WHs) in the context of Rastall–Rainbow (R–R) gravity theory, which combines the Rastall and rainbow theories. The authors construct models that admit static wormhole geometries based on dark matter halo profiles, as previously demonstrated by Rahaman et al. (2014). They analyze the properties of these wormholes using three different halo density profiles: Navarro-Frenk-White (NFW), Thomas-Fermi (TF), and pseudo isothermal (PI). The main findings indicate that such wormholes could potentially exist, but the null energy condition (NEC) is violated near the wormhole throat. The stability of the configurations is examined through the adiabatic sound velocity, which shows that the solutions are stable under certain conditions. The study concludes that while WHs in dark matter galactic halos are possible, more astrophysical data is needed to confirm their existence.