ASL or American Sign Language was used in the film. The quote below by Lauren Ridloff, the actress for Makkari, makes it seem like ASL was used in universe because it is convenient for the viewer, same with using English, rather than it is actually what happens in universe.
Given the movie’s global and historical scope, were there discussions about the kind of sign language you would be using in the movie?
Yeah, there absolutely was that discussion with Chloé. I know a lot of people don’t realize that sign language is not universal. Each country has their own form of sign language. We have American Sign Language here. There’s also British Sign Language and Mexican Sign Language. I could meet a deaf person from Japan and not understand them, because our sign languages are so different. So we were thinking about Makkari, should we make up some kind of sign language system, because in this story, we start at the dawn of civilization. But Chloé was like, “Look, everybody is speaking English [in the movie]. Come on!” So we decided, why not just use American Sign Language? It makes sense. People haven’t been speaking English since the dawn of time, but here we are.
Variety, ‘Eternals’ Star Lauren Ridloff on Playing Marvel’s First Deaf Superhero and the Need to ‘Normalize Subtitles’