In present research paper, we investigated in detail the non-relativistic bound states of diatomics under the influence of modified more general exponential screened coulomb (MGESC) potential by means Bopp's shift method and standard perturbation theory in the noncommutative 3-dimensional space phase (NC:3D-RSP). Through an exact analytical solution of 3-dimensional time-independent Schrodinger equation, the corrections expressions were derived for energy-eigenvalues for n<^>th excited states. Furthermore, the obtained corrections of energies are depended on the discreet atomic quantum numbers (j = |l - s|, ...(l + s), (l, n)) and m), in addition to the two infinitesimal parameters (<$ETHETA ,~chi>) which are induced by position-position noncommutativity. We have also shown that, the total complete degeneracy of energy levels of modified (MGESC) potential equals the new values 2n<^>2. We have also shown that, the group symmetry (NC:3D-RSP) corresponding modified (MGESC) potential reduce to the symmetry sub-group (NC:3D-RS).

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