Michael McElroy, Jennifer Leigh Warren, and others will also participate.
The honors were presented at Sardi's on May 22.
Zach Braff and Marin Mazzie star in this musical adaptation of the 1994 film about organized crime on the Great White Way.
Susan Stroman directs and choreographs the new Woody Allen musical.
The show begins previews March 11 at the St. James Theatre.