The energy-momentum localization problem, which was attemted by Einstein himself for the first time, has been continued to the present day. Recently, new prescription obtained by modifying the torsion theory and these results shed light on the solution of the energy momentum localisation problem. Focusing this purpose, we consider a Locally Rotationally Symmetric Bianchi Type-II model in the teleparallel framework and calculate the modified energy and momentum density for the general case. We also obtain the energy and momentum density for some special cases of the modified theory and compare our results with previous work in the literature.