The Förster-Dexter theory commonly used in the photo-induced energy transfer is derived and its limitations are discussed. To overcome several limitations of the conventional Förster-Dexter theory. Generalized Förster-Dexter theory is developed and presented in this work. The energy gap dependence and temperature effect on energy transfer are studied. Monopole-monopole interaction model is proposed to approximate the electronic matrix elements. By using Zerner`s intermediate neglect of differential overlap (spectra) semi-empirical program, the electronic matrix elements are obtained for the three caroteno-porphyrin isomers in second-order approximation. Using these electronic matrix elements, the energy transfer rates of these model dyads are calculated based on generalized Förster-Dexter theory. Theoretical calculations are in good agreement with the experimental results. The results show that the super-exchange can be an important role in energy transfer.