Augert was born in Saint-Jean-de-Maurienne and grew at the La Toussuire ski resort, Savoy. he debuted in the Alpine Skiing World Cup with a victory, at the Adelboden giant slalom (6 January 1969). Nicknamed "Rosko", he was, however, a specialist of the slalom discipline, in which he won three World Cups in 1969, 1971 and 1972, and in which he won a gold medal at the 1970 World Championships in Val Gardena. He was also second in the overall classification of the 1969 World Cup and third in the Giant Slalom World Cup 1969. Besides his 15 wins in World Cup races, he finished 15 times at the podium (place two: 6 slaloms, 3 giant slaloms; place three: 2 slaloms, 4 giant slaloms). He came fifth in both the men's slalom and giant slalom at the 1972 Winter Olympics.