After he passed the Abitur at the Amandus-Abendroth-Gymnasium [de] in Cuxhaven in 1949, he studied music and music education at the Hochschule für Musik und Theater Hamburg as well as musicology and literary criticism, pedagogy, philosophy, sociology, theology and phonetics at the University of Hamburg from 1951 to 1959.
In 1970 he returned to the University of Hamburg as Ordinarius for Educational Science with a focus on Music Pedagogy.
Rauhe made special efforts to develop new methods of Music therapy Impact research.
For example, through the targeted use of music in the neurological rehabilitation of stroke and Parkinson patients at the Asklepios Klinikum Harburg [de] (together with the neurologist Robert-Charles Behrend).
Together with its president Gerd Schnack, Rauhe developed a special method of stress reduction, the so-called repetitive meditation training.