Vector meson production at low energies are analyzed within the chiral invariant effective Lagrangian of the Nambu-Jona-Lasinio-type with the meson and diquark sectors with the different values of coupling constants. The main Feynman diagrams are analyzed and it is shown that the production cross section is sensitive to the parameters of the diquark sector. Comparison of calculated cross section with available experimental data is done. 28 refs.; 5 figs.