A systematic study of total fusion involving the weakly bound nuclei 6,7 Li with several light to heavy mass targets at Coulomb energies is presented. Emphasis is given to the role of resonance states (l = 2, J π = 3 + , 2 + , 1 + of 6 Li and l = 3, J π = 7/2 − , 5/2 − of 7 Li) on the total fusion excitation function. A comparative analysis of the effects of resonant breakup on total fusion is performed for both projectiles, using the Continuum-Discretized Coupled-Channel (CDCC) framework. The calculations demonstrate that (i) resonant breakup couplings play a more important role in total fusion than non-resonant couplings, (ii) resonance states with short half-lives are very important for total fusion, as incident energies decreases towards the Coulomb barrier energy where incomplete fusion dominates, and (iii) resonance states with long half-life act as quasi-bound inelastic states, playing a crucial role in complete fusion.