A cinching latch assembly for latching a striker includes a forkbolt biased to rotate about a first pivot point between a primary latched position, a secondary latched position, and a fully released position. The cinching latch assembly also includes a detent biased to rotate about a second pivot point to engage with the forkbolt in at least one position of the forkbolt, and a lift lever biased to rotate about a third pivot point, the lift lever having a first end to lift up on the striker during at least one position of the striker within the latch assembly. The cinching latch assembly also includes a cinch lever that, during a powered cinching operation, lowers the lift lever away from the striker prior to the forkbolt moving from the fully released position to the secondary latched position.