The Avengers were not part of the original 2099 universe. A battlefield commission by the returning Steve Rogers in the divergent 2099 Manifest Destiny was the closest we got.
In Secret Wars 2099, an Avengers team was part of that Domain's 2099 reality, with 2099 versions of Captain America, Hawkeye, Iron Man, Black Widow, Vision, and the still-immortal Hercules serving under Miguel O'Hara as head of Alchemax.
In the current Earth-2099 timeline, an Avengers team was decimated by the Masters of Evil 2099, with the death or defeat of versions of Daredevil, Black Widow, Strange, Phastos, Frankenstein's Monster, Roman the Sub-Mariner, and Relur the Human Torch. Known survivors included Spider-Man 2099, Cable, Captain America, and Hulk.
This led to the New Avengers 2099, with members like Moon Knight, Black Panther, Captain Marvel, Aero, Wave, Spider-Woman, Captain Britain, and the former "Kid" Gladiator.