He played 4 games in the National Hockey League with the Toronto Maple Leafs and Washington Capitals between 1994 and 1998.

The rest of his career, which lasted from 1988 to 2006, was primarily spent in the minor leagues and later in the German Deutsche Eishockey Liga.

Internationally Augusta played for the Czechoslovak national team at the 1992 Winter Olympics and 1992 World Championship, winning a bronze medal in each tournament.

Augusta played on the bronze medal winning ice hockey team for Czechoslovakia at the 1992 Winter Olympics.

He also worked as assistant coach with the U16, U17, and U18 Czech National Team at the U18 World Championship in Grand Forks, North Dakota.