The song will reportedly appear in their upcoming animated film Trolls alongside Timberlake's latest single "Can't Stop The Feeling."
Introducing themselves as "Anna and Garfunkel" Wednesday, the duo sang a soft version of Lauper's 1968 song alongside a third musician.
"We're just having fun, we're just friends here, right?" Kendrick said ahead of the performance. "We're just like, hanging out in your living room and this isn't a big deal."
Dreamworks' Trolls will release in theaters this November.