In this paper we report our calculations on several important total cross-sections (TCSs) of positron impact on isoelectronic N 2 and CO molecules, treated in the complex spherical potential formalism. Basically the total (complete) cross-section Q T consists of elastic and inelastic contributions. Our total inelastic cross-section (Q inel ) contains ionization and electronic excitations together with positronium formation. Our goal here is to bifurcate Q inel further to deduce total ionization cross-section, using the 'complex scattering potential-ionization contribution' (CSP-ic) method of electron-atom/molecule scattering. The present range of positron energy is 15-2000 eV. All the resulting cross-sections are in a good general accord with the existing data. This work highlights the importance of various scattering channels in e + -N 2 and e + -CO interactions at intermediate and high energies.