Diane Warren has now gone 0-16 for best original song, while A Complete Unknown was 0-8 overall.
Baker tied the record for most Oscars won in one night set in 1954 by Walt Disney.
Composer Daniel Blumberg called the film's director Brady Corbet his "artistic soulmate" in his acceptance speech.
Following a one-liner, the host joked, “Don’t worry, I’m lawyered up!”
The pop stars took on "Live and Let Die," "Diamonds Are Forever" and "Skyfall."
Going into the evening, Emilia Pérez led in nominations with 13, but it was another film that dominated.
From Ariana Grande to BLACKPINK's Lisa, see the stars on the red carpet at the Academy Awards.
Both songs are featured on her third album, So Close to What.
Tune in to see CM Punk, John Cena, Logan Paul, Liv Morgan and others in this year's Elimination Chamber on Mar. 1.
Watch the Detroit Red Wings vs. Columbus Blue Jackets in an outdoor pro hockey game without cable.
