The Beastie Boys were a Human classical music group from Earth.
In the alternate reality, circa 2245, a young James T. Kirk took his stepfather's Corvette out for a joyride and listened to the band's song "Sabotage". (Star Trek)
In 2259, Kirk was still a fan of the group, and listened to the song "Body Movin' (Fatboy Slim Remix)" at his apartment while sleeping with a pair of Caitian twins. (Star Trek Into Darkness)
In 2263, the song "Sabotage" was picked by Jaylah out of the USS Franklin's music library to help save Starbase Yorktown from destruction from Krall's swarm ships, a choice that appealed to Kirk. The VHF transmissions disrupted Krall's communications, causing mass confusion that resulted in the swarm's destruction. (Star Trek Beyond)
The Beastie Boys directly referenced "Star Trek" in two songs released after "Sabotage".
"Sabotage" was used in the first trailer for Star Trek Beyond.