Baeß/Thierbach were coached by Irene Salzmann in Karl-Marx-Stadt (today Chemnitz) and represented the club SC Karl-Marx-Stadt. They were the only figure skating pair representing East Germany to win the World or European championships.
Thierbach skated with five partners altogether: Romy Kermer (silver medallist at the Olympic Games with Rolf Österreich in 1976); Antje Heck; Petra Ronge; Sylvia Walter; and finally Sabine Baeß. In 1980 he suffered a meniscus injury to his knee, for which surgery was necessary. For this reason Baeß and Thierbach had to miss the Nationals and the Europeans in 1981.
Thierbach runs the company Automaten Großaufstellung Tassilo Thierbach GmbH in Chemnitz. He has also worked as figure skating coach in collaboration with Ingo Steuer in Chemnitz.