Efficient adsorption and segregation of Xe & Kr gases is of high importance in commercial as well as nuclear industries. Systematic ab initio calculations reveal that transition metal (TM) decorated boron doped graphene (BDG-TM) sheet can act as an efficient substrate for adsorptive capture of Xe & Kr (adatoms). Substantial enhancement in the adsorption energy (E ads ) is obtained on BDG-TM substrates and it varies as BDG-Cu > BDG-Ni > BDG-Fe > BDG-Zn. The improvement is approximately four times of the pristine BDG and twice that of the conventional metallic substrates. Noteworthy, the difference in E ads of Xe & Kr on BDG-Cu and BDG-Ni substrate is -216 and -202 meV, which is highly promising for selective adsorption of Xe over Kr, a crucial requirement in nuclear industry. The Badar charge analysis and charge density difference maps envisage that, the TM decoration alters the charge distribution at substrate-adatom interface, which inturn brings a considerable change in the polarization of adatom, leads to significant improvement in the E ads . The change in polarization of adatoms is interlinked with charge transfer process and it has been gauged by computing their effective charges upon adsorption; which follows the same sequence of E ads and hence corroborated each other. Later, the partial density of states analysis shows a splitting and strong hybridization of Xe-p with TM-d orbitals near the Fermi level of Fe, Ni and Cu decorated systems, unveils a strong adsorption. Further, the effect of clustering and dispersion of Cu atoms on E ads are analyzed using a first principle based genetic algorithm, which reveals that clustering of Cu atoms deteriorate the E ads of Xe & Kr. Thus for experimental realization, uniform dispersion of fine Cu particle over BDG sheet is proposed as a substrate.