"caught" makes sense, since Jingujii went off alone planning to sacrifice his own life and mind to finish the task. Tachibana caught up so they can face the challenge together.
A conjecture on the Demon Lord's original from what the story told so far:
The creator god + goddess who were slumbering as the land, whom left the reign of world to the twelve goddesses, the goddess' squabble and conflict escalates to wars that kills so many people, with nuke level weaponry left whole country in ruins.
The creator goddess, disappointed, created the 13th offspring, whose follower/officers appear to have similar immortality of the 12 goddesses, (can only be beaten by breaking their core, even then they just become a smaller version of themself, can grow back over time.) Their technique is mostly focused around take over a power source and warp it to their own use, (ie, Vizd, Meepon, prison island fireball, Mori, Rin, Shishii's loyalty.)
The goal is probably to stop the warring goddesses who were about to destroy the world.
Though i wonder about the goddess covenant's decision to kill the "Demon Lord", whom was an unknown entity that suddenly put a stop to their power, apparently Love wasn't invited to that meeting, and she summoned her heroes last, to catch up with what all other goddesses were already competing.