Abstract In our recent work, we identified the hybrid textures that simultaneously account for dark matter (DM) and neutrinoless double beta decay (0 νββ ). We also obtained bounds on dark matter mass and effective Majorana mass. However, on the same lines, in this work, we explored common parameter spaces amongst the baryon asymmetry of the universe Y , dark matter mass M 1 , and effective Majorana mass | M ee |. We use experimental bounds on the relic density of dark matter (Ω h 2 ) and baryon asymmetry of the universe to identify the suitable hybrid textures. We found that out of the five hybrid textures only three simultaneously satisfy the physics observations of the DM, 0 νββ , and leptogenesis. It is interesting to note that these three hybrid textures give a lower bound to the effective Majorana mass | M ee |, which can be probed in current and future experiments like SuperNEMO, KamLAND-Zen, NEXT, and nEXO (5 years) that have sensitivity reaches of 0.05 eV, 0.045 eV, 0.03 eV, and 0.015 eV, respectively.