Cyrus , 22, also took to her Instagram account before the event where she posted a photograph of herself in the controversial attire, which she captioned: "Joan's cheerleader".
The singer also performed at the 30th annual induction ceremony where Beatles drummer Ringo Starr become the last member of the iconic group to be welcomed into the club.
His former bandmate Paul McCartney, 72, was given the "great honour"
of inducting the star whom he later performed with alongside Green Day at the bash.
McCartney said as he welcomed Ringo - whose real name is Richard Starkey - onto the stage: "You don't have to look with Ringo. He's there. It's a great honour for me to 'induce' him ... oh, induct him into the Rock and Roll Hall of Fame here in Cleveland tonight."
Also honoured during the ceremony was the late singer Lou Reed, Green Day, The Paul Butterfield Blues Band, Bill Withers, guitarist Stevie Ray Vaughan and Double Trouble and The "5" Royales.
- Bang! Showbiz