In the present work we have studied modifications in the four-wave mixing (FWM) signal with independent simultaneous changes in the ratio between the longitudinal and transversal relaxation times T1/T2 and with the strength constant of the crossed harmonic potential curves that describe the two-levels system employed in this study, which is measured by the quotient between the resonance frequencies of the harmonic curves δ = ω̃0/ω0. In the formalism employed, the permanent dipole moments of the states in the uncoupled basis have been included and the rotating wave approximation is neglected in order to observe the processes out of the resonance region. We have observed changes in the shape and intensity of the FWM signal spectra with changes in the ratio T1/T2 and changes in the intensity and positions of the lines by modifying the parameter δ.