Kakou Sekai wo Tadoru Monogatari

Mabuchi Yuniko is the descendant of the Mabuchi family, a family that has long been tasked to destroy the beings from the underworld that seep through certain breaks in reality. These evil beings found that "lockers" can be used to connect their world with ours, giving them a chance to find live bodies to take over. In these lockers, they seek certain items that match their pathos, which can lead them to taking over the owner of the locker. The recent target of these evil beings of the underworld is Watanuki Shizuna, a girl that has a slight fetish for cannibalism. One thing led to another, and now Yuniko and Shizuna make an odd couple tasked to vanquish evil from this world.

(Source: MangaHelpers)