Answer by taking a quote from the following article:

Eric Garth Hudson (born August 2, 1937) is a Canadian multi-instrumentalist. As the organist, keyboardist and saxophonist for Canadian-American rock group the Band, he was a principal architect of the group's unique sound. Hudson has been called "the most brilliant organist in the rock world" by Keyboard magazine. As of 2018, Hudson and fellow musician Robbie Robertson are the last original members of The Band who are still alive.

Under the strict supervision of Hawkins, the Hawks became an accomplished band. They split from Hawkins in 1963, recorded two singles and toured almost continually, playing in bars and clubs, usually billed as Levon and the Hawks. Hudson started work as a session musician in 1965, playing on John Hammond, Jr.'s So Many Roads along with Robertson (guitar) and Helm (drums).  In August 1965, they were introduced to Bob Dylan by manager Albert Grossman's assistant, Mary Martin. In October, Dylan and the Hawks recorded the single "Can You Please Crawl Out Your Window?", and in January 1966 they recorded material with Dylan for what would turn into the Blonde on Blonde album. Dylan recruited the band to accompany him on his controversial 1966 "electric" tour of the United States, Australia and Europe. (An album of Dylan's 1966 performance with his band, The "Royal Albert Hall" Concert, was finally released in 1998.) Subsequent to Bob Dylan's motorcycle accident in July 1966, the group settled in a pink house in West Saugerties, New York, near Woodstock. Dylan was a frequent visitor, and Hudson's recordings of their collaborations resulted in The Basement Tapes.  By 1968, the group recorded its debut album, Music from Big Pink. The album was recorded in Los Angeles (at Capitol) and New York (at A&R Studio). Capitol originally announced that the group would be called the Crackers, but when Music From Big Pink was released they were officially named the Band. The album includes Hudson's organ showcase, "Chest Fever", a song that in the Band's live shows would be vastly expanded by a solo organ introduction, entitled "The Genetic Method", an improvisational work that would be played differently at each performance. An example can be heard on the live album Rock of Ages. Hudson is also adept at the accordion, which he played on some of the group's recordings, such as "Rockin Chair", from "The Band"; the traditional "Ain't No More Cane", from "The Basement Tapes"; Dylan's "When I Paint My Masterpiece"; and Bobby Charles's "Down South in New Orleans" during the Last Waltz. His saxophone solo work can be heard on such songs as "Tears of Rage" (from Big Pink) and "Unfaithful Servant" (from The Band). Hudson is credited with playing all of the brass and woodwinds on the studio version of "Ophelia", from the 1975 album Northern Lights - Southern Cross as well. This album, the first to be recorded in the Band's Shangri-La recording studio in Malibu, California, also saw Hudson adding synthesizers to his arsenal of instruments.  Hudson provided innovative accompaniment. For example, the song "Up on Cripple Creek" features Hudson playing a clavinet through a wah-wah pedal to create a swampy sound reminiscent of a Jew's harp or the croak of a frog. This clavinet-wah wah pedal configuration was later adopted by many funk musicians.  After years of continuous touring, the Band made its final bow as a touring band with a lavish final concert on Thanksgiving Day 1976 at the Winterland Ballroom in San Francisco, an all-star tribute concert documented in The Last Waltz.

What music did they produce?
in January 1966 they recorded material with Dylan for what would turn into the Blonde on Blonde album.