Since then, Fancy Bears have targeted the White House and the Central Intelligence Agency and were responsible for the email hack of the Democratic National Committee which is thought to have badly damaged Hillary Clinton's campaign for the presidency previous year.
A TUE allows an athlete to take a substance which is otherwise prohibited for medical purposes.
This is the first time Fancy Bears hackers have released details about football, having previously released medical records of athletes.
Argentinians Tevez and Heinze and Dutchman Kuyt were among 25 players given Therapeutic Use Exemptions (TUEs) throughout the course of the competition, BBC Sport have reported.
Tevez, who has played for Manchester United, Manchester City and West Ham, former Chelsea and United playmaker Veron and ex-United defender Gabriel Heinze all declared the use of Betamethasone, a corticosteroid with a variety of uses.
The Fancy Bears hack group said on Tuesday the doping tests of 200 football players turned out to be positive in 2016.
The group has revealed what it says is a document from the World Anti-Doping Agency (Wada) that details examinations carried out across world football.
Germany, who finished third in South Africa, have three players named, including former Bayern Munich striker Mario Gómez, who is now on the books of Wolfsburg.
Of those resolved, one shows Middlesbrough's George Friend received triamcinolone through a "legitimate method", with UK Anti-Doping determining no anti-doping rule violation had occurred. The substance must be clearly necessary and not be performance-enhancing.
The governing body said it was "disappointed" the information had been leaked as two of the cases are ongoing, relating to two non-league footballers. It was prescribed due to urticaria, or hives, which is a bumpy and uncomfortable rash.
It is believed that cocaine was found in three of the players' systems, while the other tested positive for ecstasy.
Press Association Sport has approached the FA for comment.