Go to co-op > find rooms with a green label repeating -> click on them, see what boss is there -> if it suits you, join and wait for the start -> complete the specified number of times.
The title usually indicates the number of repetitions, but most often it corresponds to the number of participants. That is, if it's thirty, then the raid must be completed thirty times. To participate, you need the required number of berries, AP (only for one raid), and treasure (only for one raid). Hosts are selected automatically, so there is no need to worry about your turn; the game will do everything for you (you just need to remember to press "start" when it's your turn). And that’s all.
This is much more efficient than finding raids individually and stretching the process over long weeks or even months. The only thing I can warn about is that Ultimate Bahamut training takes a very long time, and therefore, depending on the speed of completion, the entire walkthrough may take up to four hours. Also, keep in mind that completing the full run does not guarantee 15 meteorites.
I was a little hesitant to go into co-op because everything is in Japanese, but in the end, I overcame my reluctance and quickly coped with the task, and therefore I recommend this to others as well. You, Ment, and Ples, for example, can complete your Bahamuts and Lucifers in a couple of hours. If you want to craft an Atma, it is better to first make Baku, since it also drops anime Primarchs, and then use them to get to 25.