A disposable absorbent insert for a two-piece wearable absorbent article having features for the containment and absorption of bodily exudates. The insert may be adapted to be used with an outer cover and may have containment and absorption features including cuff structures that prevent soiling of the outer cover by the wearers exudates, so that the outer cover may be reused after an exudation event and change of inserts. The insert may have features to enhance containment, absorption, economy of materials and/or fit that makes it asymmetric about its lateral axis, and may have features that direct a user to install the insert with correct front-rear orientation relative the outer cover and/or the wearer.