U2 and Alex Ebert of Edward Sharpe and the Magnetic Zeroes took home the music awards at the 71st annual Golden Globes Sunday night, while HBO's film on Liberace continued to add trophies to its mantle.

PHOTOS: Golden Globes 2014

U2's "Ordinary Love" from "Mandela: Long Walk to Freedom" received the Best Original Song trophy, besting recordings from Coldplay, Taylor Swift and others. The band had won once before, in 2003 for "The Hands That Built America," from Martin Scorsese's "Gangs Of New York."

U2 guitarist The Edge said the band started working for Nelson Mandela and the anti-Apartheid movement when they were teenagers in the late 1970s. "It has taken 35 years to write this song," he said.

"This really is personal, very very personal," Bono added during the acceptance speech. "This man turned our life upside down, right side up. A man who refused to hate but he thought love would do a better job. We wrote a love song because its kind of what's extraordinary about the film. It's a dysfunctional love story."

The group also gave shout-outs to Coldplay's Chris Martin and new manager Guy Oseary.

Ebert was honored with Best Original Score Globe for his work on J.C. Chandor's "All is Lost," the one-man film starring Robert Redford. Caught off-guard when his name was called - he had a little bit of goofy banter with presenter Sean "Diddy" Combs - and eventually thanked the director.

"J.C.," he said, " thank you for having the faith to see what I had done before and thought that I could do this. Even the most deft pen is a clumsy tool and yet we still try for magic. Thanks for letting me try all over your movie."

Like U2, he also singled out his manager, Brian Ling.

HBO's " Behind the Candelabra," which won 11 Emmys, was named Best TV Movie or Mini-Series and its star, Michael Douglas, was named Best Actor in a Mini-Series or TV Movie.

Other winners from the music world included Jared Leto, who has concentrated on his band Thirty Seconds to Mars for the past six years, who earned the Supporting Actor award for "Dallas Buyers Club," and Spike Jonze -- famous for shooting videos for Bjork, Beastie Boys, R.E.M. and others -- won the Acreenplay award for "Her."

The Golden Globes are determined by the Hollywood Foreign Press Association, a group of about 80 freelance journalists who write for overseas publications.