The US star put on a fake British accent in an ad-lib section of her hit We Are Never Getting Back Together in a pretend call to a former lover.
The event also saw major wins for Mumford & Sons, who collected two trophies at the Los Angeles event, plus Adele and Sir Paul McCartney. Folk-rock band the Mumfords won best album for Babel.
Swift opened the star-studded event at the Staples Center with a spectacular Alice In Wonderland-themed performance, wearing a Mad Hatter-style top hat.
During one section, she seemed to be referring to her split following a fling with One Direction star Styles, which ended last month following a Caribbean break. “So he calls me up and he’s like, ‘I still love you,’” she said, briefly adopting a British twang. “And I’m like, ‘I’m sorry. I’m busy opening up the Grammys, and we are never, ever getting back together. Like ever’.”