What "genjutsu beats gaara" means
"Genjutsu beats gaara" is a caption from the same edit family as "genjutsu beats madara": a Genjutsu recast cut stacked against Gaara edits on the same heavy sound, ranked by which one lands harder in the feed. It is not an official fight result or a crossover announcement.
The longer search form, "genjutsu beats sabaku no gaara", points at the same thing. The caption is short enough to survive translation, which is why it keeps appearing in Arabic, Persian and Hindi feeds as well as English ones.
