Green succeeds Tammy Hurt, marking the first time women have served back-to-back in the top post.
Harris and R&B star Eddie Floyd both performed their inducted recordings.
Emmylou Harris, Eddie Floyd and Big Star's Jody Stephens will perform their own inducted works.
"The music community does amazing things when it comes together,” Harvey Mason jr. said.
Atlantic Records was the initial label honoree at last year’s inaugural Hall of Fame Gala.
A total of $200,000 in grants will be awarded this year.
John Mellencamp and Conan Gray will lead a tribute to Republic Records, this year's label honoree.
“Ray Charles is a beacon for me, a blueprint,” Batiste said in a statement.
The CEO wants the industry to know the organization does more than just hand out Grammys.
The event is being held on Tuesday (April 8) in Washington, D.C.