Despite sharing the same background and working together for several years, Lisa-Kaindé Diaz and Naomi Diaz—the twin sisters behind the band Ibeyi—couldn’t be more different.

They grew up in Paris, spent time living in London and are of Cuban and Venezuelan descent. They speak French and Spanish when they’re together, but sing in English and Yoruba—a Nigerian dialect brought to Cuba through the slave trade. “We were never going to be similar. Why should we be?” says Naomi.

From the get-go, Ibeyi has been a band with global reach. Since releasing a debut album in 2015, they’ve been touring almost constantly, playing everything from festivals to fashion shows. “I think we’ve grown up, but I don’t think we’ve changed,” says Naomi, reflecting on the whirlwind of t...