This paper describes the initial results obtained on the study of the reactive processing of polyolefins (LLDPE, PP) with maleic anhydride (MAH) and glycidyl methacrylate (GMA) in the presence of styrene, dimethyl sulfoxide (DMSO), and dimethylacetamide (DMAC). The investigation of the processing torque obtained from the grafting reaction showed that the torque could be used as an indicator for some product properties such as gel content and percentage of grafting. Addition of a monomer such as styrene and electron donor compounds such as DMSO and DMAC showed significant improvement in processing properties in comparison with additive-free systems.