The emission mechanisms and regions of multi-wavelength photons from radio galaxies are unknown. The emission from Magnetically Arrested Disks (MADs) with strong magnetic fields at the center of radio galaxies can explain the high-energy gamma-ray data, but the MAD model cannot explain the observational X-ray data. One possible scenario to explain radio to X-ray data is the emission from jets. We construct the Jet-MAD model taking into account the multi-wavelength emission from the jets and from the MADs with the particle injection model based on magnetic reconnection in the black hole magnetosphere. We apply the Jet-MAD model to M87 and compare it with the simultaneous multi-wavelength observational data. We consider the two-acceleration mechanism inside the jet: magnetic reconnection and Alfvén wave dissipation. We find that the Jet-MAD model can explain the radio to gamma-ray observational data with the magnetic reconnection scenario, but the Jet-MAD model cannot explain the observational data with the Alfvén wave dissipation scenario. We conclude that the magnetic reconnection likely accelerates the particles inside the jet.