Baucher published a number of works on equitation, including the Dictionnaire raisonné d'équitation, "Reasoned dictionary of equitation" in 1833; the Dialogues sur l'équitation, "Dialogues on equitation" (with Louis Charles Pellier) in 1835; and the Passe-temps équestres, "Equestrian pastimes" in 1840.
Baucher's most celebrated work is the Méthode d'équitation basée sur de nouveaux principes, "Method of riding based on new principles"; the earliest extant edition is the third, published in 1842.