Bauer had argued that Austria's skiing federation and Olympic committee had discriminated against her by not including her in the team after she said she had fulfilled qualification criteria.
CAS dismissed her appeal - the first case to be heard in Sochi - but said the two Austrian sports bodies had provided insufficient published material regarding qualifications and standards which misled the athlete.
(Reporting by Karolos Grohmann; Editing by Peter Rutherford)
