Very close resemblance to this sword which sold at auction in 2014 (see here
). This sword is in a plain steel scabbard (what we can see). Auction details indicate:
French Gendarmerie Royale Sword with brass two bar and dish back hilt. Decorated floral back strap. Complete with its steel scabbard with decorative brass ring mounts. Steel blade with remains of GENDARMERIE ROYALE wording. Good overall condition.
Probably not a "fake" IMHO, but hard to say.