The NSWIS skier moved through the rounds of 32, 16 and 8 with ease to advance through to the semi-final round against Jaelin Kauf of the USA.
In a hotly contested matchup, Anthony was narrowly defeated with a score of 15-20 in the American's favour, leaving Anthony to duel in the final round for third place.
In the small final, Anthony easily recorded her third medal of the season, out duelling Hinako Tomitaka of Japan 29-6.
Kauf went on to take the win, defeating Japanese skier Rino Yanagimoto with a score of 26 points to 9.
Cooper Woods was again the highest place NSWIS male skier finishing in 17th, with teammates George Murphy 40th and Oliver Logan 44th.
The mogul team now heads to Alpe d'Huez France, for the next round of World Cup competition on December 15-16.