CONTEXT: For the advancement in fields of organic and perovskite solar cells, various techniques of structural alterations are being employed on previously reported chromophores. This way, molecules with all the properties desired for better performance of solar cells can be achieved. In this regard, theoretical modeling of chromophores has gained quite an interest due to its ability to save time, resources, and money. Herein, five new Y-shaped donor materials were theoretically engineered by adding electron-withdrawing acceptors on reported 2DP molecule. The results explored that, in comparison to 2DP, the produced molecules showed red shift in the absorption peaks, smaller bandgaps and binding energies, lower excitation potential, and greater dipole moment and were also highly reactive. When paired with PC61BM, proposed compounds exhibited higher estimated power conversion efficiencies and open-circuit voltage in contrast to 2DP. Individually, 2DP1 possessed the largest conductivity of electrons and the maximum mobility of holes, due to its computed lowest reorganization energies. The results illustrate the viability of the proposed procedure, opening doors for the manufacturing of required solar cells with enhanced photovoltaic properties. METHODS: Precisely, a DFT and TD-DFT analysis on 2DP and all of the proposed molecules was conducted, using the functional MPW1PW91 at 6-31G (d,p) basis set to examine their optoelectronic aspects; additionally, the solvent state computations were studied with a TD-SCF simulation. For all these simulations, Gaussian 09 and GaussView 5.0 were employed. Moreover, the Origin 6.0 software, Multiwfn 3.8 software, and PyMOlyze 1.1 software were utilized for the visual depiction of the graphs of absorption, TDM, and DOS, respectively, of the studied molecules. A number of crucial aspects such as FMOs, bandgaps, light-harvesting efficiency, electrostatic potential, dipole moment, ionization potential, open-circuit voltage, fill factor, binding energy, interaction coefficient, chemical hardness-softness, and electrophilicity index were also investigated for the studied molecules.