Your Austrian article 50 card only provides you with rights in Austria, it provides you with no additional rights in France. Without a Visa or a residency permit for France you can only stay there 90 days in any 180 day period (Schengen Wide). What type of Article 50 card do you have? In the meantime here’s the .GOV.UK link for France – https://www.gov.uk/guidance/living-in-france
Note: Different rules may apply if your Spouse is an EU national.
