It's not Manga's new one, anyway. I checked, and I really couldn't call that a reversible cover. The inside artwork is the jumble of objects from the parade (basically like the front cover but with Paprika's face absent). The left-hand panel (which would become the back cover if you reversed the sleeve) has the film's logo. The artwork would wrap around and have no logo on the spine.
Also, for the record, Manga's recent combi release comes with a cardboard o-card over the BD Amaray case. The artwork is identical to the sleeve inside. Hope any of that helps!