It looks like Fetch is ready to show off one last power to Augustine, Homing Missiles. Use R1 to fire a salvo of missiles, which home in on the targets and then explode. Note that this ability uses Heavy Ammo, which is shown right above your Neon gauge in the bottom left. Replenishing the Heavy Ammo is as easy as draining any Neon power source.
Fetch asks for something a little tougher to fight and she gets her wish, as Augustine uses the Conduit that creates the holograms to send out demon enemies. Your goal is to defeat a total of 20 demons, and there are four types you will be fighting here. The first type is a melee-only demon (Wraith), so match that with your own melee, but be aware that they are strong.
The second is a flying enemy called a Summoner. They float around and throw balls of energy onto the ground, which spawn little spider creatures called Swarmers. These Swarmers will latch onto you and some will explode. The last two enemies are angels and flying demons, which will shoot beams at you. One hit will be more than enough to defeat these two.
Once you finish off a total of 20 demon enemies (the Swarmers don't count), the mission will end and you will go back to two years earlier.