Context. X-ray binaries in outburst typically show two canonical X-ray spectral states, i.e. hard and soft states, as well as different intermediate states, in which the physical properties of the accretion flow are known to change. However, the truncation of the optically thick disk and the geometry of the optically thin accretion flow (corona) in hard state are still debated. Recently, the JED-SAD paradigm has been proposed for black hole X-ray binaries, aimed to address the topic of accretion and ejection, and their interplay in these systems. According to this model, the accretion flow is composed by an outer standard Shakura-Sunyaev disk (SAD) and an inner hot Jet Emitting Disk (JED). The JED produces both the hard X-ray emission, effectively playing the role of the hot corona, and the radio jets. The disruption of the JED at the transition to the soft state coincides with the quenching of the jet. Aims. In this paper, we use the JED-SAD model to describe the evolution of the accretion flow in the black hole transient MAXI J1820+070 during its hard and hard-intermediate states. Contrarily to the previous applications of this model, the Compton reflection component has been taken into account. Methods. We use eight broadband X-rays spectra, including NuSTAR, NICER and the Neil Gehrels Swift Observatory data, providing a total spectral coverage of 0.8-190 keV. The data were directly fitted with the JED-SAD model. We performed the procedure twice, considering two different values for the ISCO, i.e. 4 R G (a * =0.55) and 2 R G (a * =0.95). Results. Our results suggest that the optically thick disk (i.e. the SAD) does not extend down to the ISCO in any of the considered epochs. In particular, assuming R ISCO =4 R G , as the system evolves towards the hard/intermediate state, we find an inner radius within a range of ∼60 R G in the first observation down to ∼30 R G in the last one. The decrease of the inner edge of the SAD is accompanied by an increase of the mass-accretion rate. However, when we assume R ISCO =2 we find that the mass accretion rate remains constant and the evolution of the accretion flow is driven by the decrease of the sonic Mach number m S , which is unexpected. In all hardintermediate state observations, two reflection components, characterized by different values of ionization, are required to adequately explain the data. These components likely originate from different regions of the SAD. Conclusions. The analysis performed provides a coherent physical evolution of the accretion flow in the hard and hard-intermediate states and supports a truncated disk scenario. We show that a flared outer disk could, in principle, explain the double reflection component. The odd results obtained for R ISCO =2 R G can also be considered as a further evidence that MAXI J1820+070 harbours a moderately spinning black hole, as suggested in other works.