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Herein, we report the quantum chemical results based on density functional theory for the polarizability ( α ) and first hyperpolarizability ( β ) values of diacetylene-functionalized organic molecules (DFOM) containing an electron acceptor (A) unit in the form of nitro group and electron donor (D) unit in the form of amino group. Six DFOM 1 - 6 have been designed by structural tailoring of the synthesized chromophore 4,4'-(buta-1,3-diyne-1,4-diyl) dianiline ( R ) and the influence of the D and A moieties on α and β was explored. Ground state geometries, HOMO-LUMO energies, and natural bond orbital (NBO) analysis of all DFOM ( R and 1 - 6 ) were explored through B3LYP level of DFT and 6-31G(d,p) basis set. The polarizability ( α ), first hyperpolarizability ( β ) values were computed using B3LYP (gas phase), CAM-B3LYP (gas phase), CAM-B3LYP (solvent DMSO) methods and 6-31G(d,p) basis set combination. UV-Visible analysis was performed at CAM-B3LYP/6-31G(d,p) level of theory. Results illustrated that much reduced energy gap in the range of 2.212-2.809 eV was observed in designed DFOM 1 - 6 as compared to parent molecule R (4.405 eV). Designed DFOM (except for 2 and 4 ) were found red shifted compared to parent molecule R . An absorption at longer wavelength was observed for 6 with 371.46 nm. NBO analysis confirmed the involvement of extended conjugation and as well as charge transfer character towards the promising NLO response and red shift of molecules under study. Overall, compound 6 displayed large α and β tot , computed to be 333.40 (a.u) (B3LYP gas), 302.38 (a.u.) (CAM-B3LYP gas), 380.46 (a.u.) (CAM-B3LYP solvent) and 24708.79 (a.u), 11841.93 (a.u.), 25053.32 (a.u) measured from B3LYP (gas), CAM-B3LYP (gas) and CAM-B3LYP (DMSO) methods respectively. This investigation provides a theoretical framework for conversion of centrosymmetric molecules into non-centrosymmetric architectures to discover NLO candidates for modern hi-tech applications.