Kauf mainly took part in the Nor-Am Cup from 2012 to 2015. In the 2014/15 season she achieved her first podium finishes in the Dual Moguls with 3rd place in Killington and 1st place in Val Saint-Côme and reached fifth place in the Moguls ranking at the end of the season. At the Junior World Championships 2015 in Chiesa in Valmalenco she won the Moguls bronze medal. She made her debut in the World Cup on January 23, 2016 in Val Saint-Côme and came 13th in the Moguls competition. At the World Cup in Deer Valley you get your first top 10 placements in the World Cup.
In February 2017, Kauf came back on the podium at the World Cup in Deer Valley with third place in the Dual Moguls and won her first World Cup victory in the Dual Moguls competition in Tazawako . At the 2017 World Championships in Sierra Nevada , she won the bronze medal in the Dual Moguls. She finished the season in seventh place in the Mughal World Cup. At the beginning of April 2017, she became the American dual moguls champion. She won three World Cups in the 2017/18 season. In addition, she achieved second place twice and at the end of the season sixth place in the overall World Cup and second place in the Moguls World Cup. At the 2018 Winter Olympics in Pyeongchang , she was seventh in the Mughal competition. After finishing fifth in the Moguls in Ruka at the beginning of the 2018/19 season, she won in Thaiwoo in the Moguls and Dual Moguls. This was followed by third place in the Moguls in Calgary and second in the Dual Moguls in Tazawako and thus reached fifth place in the overall World Cup and again second place in the Moguls World Cup. At the season highlight, the 2019 World Championships in Park City , she won the silver medal in the Dual Moguls. In March 2019, she became US champion in Moguls and Dual Moguls at the Waterville Valley Resort . In the 2019/20 season, she came in ten World Cup starts, seven times in the top ten and thus achieved 13th place in the overall World Cup and third place in the Moguls World Cup. She won her seventh World Cup victory in the Dual Moguls in Shymbulak and took third place in the Dual Moguls in Krasnoyarsk and in the Deer Valley Resort and second in the Dual Moguls in Thaiwoo.