He was banned from the sport for life in 1985 for using Stanozolol, but this ruling was overturned just two years later. After retirement, Machura openly admitted to using banned substances throughout his career. In 2000, an investigation headed by Dr. Jan Hnizdil revealed a secret state-sponsored doping programme in 1980s Czechoslovakia. Elite athletes were forced into doping, known as the "Program of Specialized Care", and Machura acknowledged that he had been a participant and claimed a number of other prominent Czechoslovakian athletes were also involved.
Machura has a son, also named Remigius Machura, who is a shot putter as well. In September 2010 he got 2-year doping ban.