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A criterion that should be satisfied in the inflation andquintessence models has been motivated from the weak gravityconjecture (WGC) by Huang. However, it is found that the criterionis inconsistent with the holographic dark energy (HDE) and newagegraphic dark energy (NADE) models. In the note, we firstly showthat in the HDE and NADE models the criterion should be be replacedrespectively by two new criterions. Secondly, we apply the newcriterions indicated by WGC to survey the two models. We find thatthe contradiction between WGC and the NADE model is removed when thenew criterion is used. In the HDE model, we find the effects of thespatial curvature and the interaction should be considered in orderto match the new criterion.
Keywords:theoretical physics; holographic dark energy; weak gravity conjecture