Basically Yuta can start with his standard attacks such as sword attacks and stuff, then he can lead with death hax via curse speech or he can lead with power mimicry and copy some animus powers
Animus mostly start with his BFR then lead with time hax/EE that reverse someone's time and essentially making them no longer exist, he can also apply mind hax that alter someone's mind to commit suicide via wishes. He can also copy powers by Maimakterion's ability (It also copies the target's appearance. Works even if that target doesn't actually exist, such as a cartoon character). Animus can also use a wish to imitate a power identical to that of other people have, as Shimaki did with him.