Howard Elliott Ashman worked on both "Little Shop of Horrors" and the song referenced in the Be Our Guest Restaurant.
"Be Our Guest" is a song written by lyricist Howard Ashman and composer Alan Menken for Walt Disney Pictures' 30th animated feature film "Beauty and the Beast" (1991). 
Howard Elliott Ashman (May 17, 1950  March 14, 1991) was an American playwright and lyricist. 
 Their next musical, "Little Shop of Horrors" (1982) for which Ashman again directed and wrote both book and lyrics, became a long-running success and led to a 1986 feature film. 
 The name of the restaurant is a reference to "Be Our Guest", one of the classic songs from that film. 
