If their wardrobes and their psychedelic, Rolling Stones-driven music are any indication, the members of Foxygen probably wish they lived in the 1960s. But on the duo’s new album, We are the 21st Century Ambassadors of Peace & Magic, Foxygen borrows from its influences without recreating the past. Instead, Sam France and Jonathan Rado put modern twists on John Lennon and Mick Jagger, emulating their vocal nuances with a nonchalant, playful zeal. On the twangy “No Destruction,” France sings, “There’s no need to be an asshole, you’re not in Brooklyn anymore.” That attitude is part of what makes Foxygen so refreshing: France and Rado maintain a loose DIY ethos with a bigger budget. In May 2011, Foxygen gave producer Richard Swift a copy of its Take the Kids Off Broadway album; he liked it so much that he recorded them eight months later. When the band performs at the Rock & Roll Hotel, don’t expect an uncompromising or overserious block of songs: France and Rado are just two kids having fun, even if their clothes look older than they do. With Unknown Mortal Orchestra and Wampire. 7 p.m. $14.