As for the story, the plan is for the next update to include a bit more of it; in this update, Caffa has prioritized adding more gameplay, cosmetic items, and redesigns over the story.
If the "Innocence" quest hasn't appeared after completing the "Allies" quest, it's due to a bug that has already been reported. However, the developer is unaware of the details of the bug because he can't determine the cause. We're encouraging people to join the Discord server and post in the #Bug-report channel, specifying the mobile device they're using and the version of the game they have.