The adaptive Lévy flower pollination algorithm (ALFPA) is a recent addition to variants of flower pollination algorithm (FPA). Despite its excellent performance on single objective problem instances, it has shown inefficiency in the number of function evaluation (FE). Inspired by this, this paper proposed two algorithms extending ALFPA to solve multiple objective problem while also improving FE efficiency. The first algorithm proposed is ALFPA with non-dominated sorting denoted as MO-ALFPA alongside two variants which are proposed to improve its FE efficiency denoted as MO-ALFPAT and MO-ALFPAB. The second proposed algorithm, MOEA/D-ALFPA, uses decomposition strategy instead of non-dominated sorting on MO-ALFPA. The empirical study on two benchmark suits shows that MO-ALFPAT and MOEA/D-ALFPA performed better than other methods. Furthermore, MO-ALFPAT and MOEA/D-ALFPA produced the best results in three benchmark instances, based on inverted generational distance indicator, and two and three best results based on the hypervolume indicator, respectively.