Cohn was educated as a lawyer, and became vice-president of CBS/Epic records and later head of Playboy Records and Music. He also continued a career as producer, writer and critic. He wrote Movietone Presents the Twentieth Century (New York : Saint Martin's Press, 1976) and edited Nothing But The Blues : The Music and the Musicians (New York : Abbeville Press, 1993).
He has eight Grammy Award nominations and won Grammy Award for Best Historical Album in 1991 for the "Robert Johnson : The Complete Recordings" project. He also received, in the same year, the W. C. Handy Award for his work on Robert Johnson and was honored with a Special Distinction Award by the Blues Foundation for his "Contribution to the Blues." Moreover, Sony Music provided him with their first President's Award, for his work on Robert Johnson. He was also selected as one of the "100 Most Important People In The Music Business." [BAM, 1991[
His book, "Nothing But The Blues: The Music and the Musicians," received numerous awards. Amongst them, the ASCAP-Deems Taylor Award, BMI-Ralph Gleason Award and the Blues Foundations's "Hall of Fame" designation