If we want to really lowball, we can segway that into the next topic:
Damnatio Memoriae. By definition, Damnatio Memoriae is Latin for "condemnation of memory", indicating that a person is to be excluded from official accounts, as if they didn’t exist. Here, Moebius is doing it literally. I don’t know what to classify this as, but we do get a hint here:
the japanese version of Damnatio Memorie has a simple name: “Erasing Existence”. From what we can see in the SP Skill animation,
Moebius attempts to cut off (cut off the line that likely represents timeline, as each are separated from each other) every possible past versions of the victim that leads up to the person that is currently fighting him, destroying all versions of the subject’s past that led them to that point and erasing them from existence. In the video,
there are events that don’t actually happen in the main story, such as Gunvolt and Asimov teaming up on Zonda, when in the main story, Asimov should be dead at that time- in addition, Asimov is wearing his glasses while using his Azure Striker Septima, when he normally has to take those off to use his Septima. Of course, this is all an educated guess, so… maybe this would be more of a “possibly/likely
Timeline Manipulation and Existence Erasure”- but honestly I feel like it’s pretty clear cut.
There's also the fact that the target either is damaged or Prevades this attack, but isn't instantly killed. So does that mean Type 1 Acausality or just normal resistance if we accord to the above?
Notice that I said “possible pasts (timelines of their past) represented lines”, we could possibly scale Damnatio Memorie to Astral Order’s hax tier- as there is only so many (time)lines drawn on the screen (19 of them), we could lowball Astral Order’s hax to be 19 universes (2-C) to be concrete, and attach a “possibly/likely” Multiversal+ Astral Order.
So for conclusions for Astral Order, it’d be Precognition and Fate Manipulation (4D - Low Multiversal, possibly/likely Multiversal+), but I'll let the mods be the judge of this. Of course, abilities that help resist Astral Order such as Golden Trillion and Djinn (and The Muse due to being the same type of Stand)