A new form of a local, model polarisation-correlation potential obtain
ed via Density Functional Theory (DFT) is proposed for the treatment o
f positron scattering from H-2 and N-2 molecules at energies below the
threshold of positronium formation. The derivation of the potential i
s briefly discussed and its relative importance for the elastic channe
ls of the scattering process is analysed in detail. Final elastic cros
s sections, rotationally summed, are compared with experiments and wit
h existing theoretical results. They are found to agree reasonably wel
l with measurements and suggest the present model as a useful, and sim
ple, method for treating short-range correlation forces in positron sc
attering calculations for molecular systems.