In this work we propose an extension to the Standard Model in which we consider the model 2HDM type-III plus massive neutrinos and the horizontal flavor symmetry S3 (ν2HDM⊗S3). In the above framework and with the explicit breaking of flavor symmetry S3, the Yukawa matrices in the flavor adapted basis are represented by means of a matrix with two texture zeroes. Also, the active neutrinos are considered as Majorana particles and their masses are generated through type-I seesaw mechanism. The unitary matrices that diagonalize the mass matrices, as well as the flavor mixing matrices, are expressed in terms of fermion mass ratios. Consequently, in the mass basis the entries of the Yukawa matrices naturally acquire the form of the so-called Cheng-Sher ansatz. For the leptonic sector of ν2HDM⊗S3, we compare, through a χ 2 likelihood test, the theoretical expressions of the flavor mixing angles with the masses and flavor mixing leptons current experimental data.The results obtained in this χ 2 analysis are in very good agreement with the current experimental data. We also obtained an allowed value ranges for the "Dirac-like" phase factor, as well as for the two Majorana phase factors. Furthermore, we study the phenomenological implications of these numerical values of the CP-violation phases on the neutrinoless double beta decay, and for Long Base-Line neutrino oscillation experiments such as T2K, NOνA, and DUNE.the Yukawa matrix entries and the parameters used to compute the decay widths and cross section, without losing the terms proportional to the light fermion masses. Specifically, considering a zero texture Yukawa matrix, one obtains the Cheng-Sher ansatz for flavor mix couplings, widely used in literature, where flavored couplings are considered proportional to the involved fermion masses [31].The matter content in the 2HDM is divided among the quarks and leptons sectors. In turn these sectors are subdivided in two sectors, the up-and down-type for quarks sector, while charged leptons and neutrinos for the leptons sector. The fermions in each one of these subsectors are analogous each other, because they have completely identical couplings to all gauge bosons, although their mass values are not the same. Therefore, before of the spontaneous symmetry breaking (SSB), the Yukawa Lagrangian in the above subsectors is invariant under permutations of flavor indices. In other words, each one of these subsectors is invariant under the action of a S 3 symmetry group. This symmetry group has only three irreducible representations that correspond to two singlets and a doublet [32,33].On the other hand, obtained from the experimental data, the mass spectrum for Dirac fermions obeys the following