In this study, we propose a concise model in the type-III seesaw framework to address neutrino mass, asymmetric dark matter (DM), and the baryon asymmetry of the Universe. The lepton asymmetry and relic density of DM are generated by the simultaneous CP-violating out-of-equilibrium decay of heavy triplet fermions to the visible sector and dark sector, respectively. Subsequently, the lepton asymmetry transforms into the required baryon asymmetry through electroweak sphalerons, while the asymmetry in the dark sector persists as the observed relic of dark matter. Soft breaking of a \(Z_2\) symmetry, wherein DM is odd, results in an unstable asymmetric DM with a mass ranging from MeV to TeV.