Abstract.A new form of a local, model polarisationcorrelation potential obtained via Density Functional Theory (DFT) is proposed for the treatment of positron scattering from Hz and N2 molecules at energies below the threshold of positronium formation. The derivation of the potential is briefly discussed and its relative importance for the elastic channels of the scattering process is analysed in detail.Final elastic cross sections, rotationally summed, are compared with experiments and with existing theoretical results. They are found to agree reasonably well with measurements and suggest the present model as a useful, and simple, method for treating short-range correlation forces in positron scattering calculations for molecular systems.