Forest were angered by the manner in which Jurgen Klopp’s Liverpool side scored a stoppage-time winner at the City Ground.
It came shortly after referee Paul Tierney awarded a drop-ball to the visitors deep in their own half.
The hosts believed that they should have received possession as they had the ball outside the penalty area when the official stopped play in the middle of a Forest attack for a head injury suffered by Liverpool defender Ibrahima Konate.
Although Forest did briefly regain possession a couple of times in the minutes that followed, Darwin Nunez eventually grabbed the only goal of the game.
Forest first-team coach Steven Reid was given an extended two-match touchline ban and fined £5,000 after confronting Tierney, while the club also received a £75,000 fine.