We use effective field theory (EFT) for the calculation of neutron deuteron radiative capture at very low energies. We present here the use of EFT to calculate a low-energy photo-nuclear observable in three-body systems, the photon polarization parameter and fore aft asymmetry at thermal neutron energies up to next-to-next to leading order ((NLO)-L-2), with inclusion of the electric quadrupole contribution. The photon polarization parameter in total is found to be R-c = 0.421 +/- 0.003 and is in good agreement with the other modern theoretical calculations based on modern nucleon nucleon potentials. In comparison with our previous work, a satisfactory agreement with the available experimental data is found by inclusion of the electric quadrupole contribution.