Celtic's appeal over the red card shown to Hyun-Jun Yang in Sunday's defeat at Hearts has been dismissed.
The winger will now miss the club's next two games at home to Livingston in the Scottish Cup quarter-finals and against St Johnstone in the Scottish Premiership on March 16.
Yang was sent off for a high challenge on Alex Cochrane early in the first half of Celtic's 2-0 loss but only after a VAR check led to referee Don Robertson overturning his initial decision from a yellow card to red.
In a statement on Monday Celtic also said they had written to the Scottish FA "to raise our serious concerns regarding the use of VAR and the decisions made within the match".
The club added: "As we have said before, for some time Celtic has sought to work with the footballing authorities with the aim of improving standards associated with refereeing and the use of VAR in Scotland, something which is clearly in the wider interests of everyone within the game."
The red card happened minutes after Celtic were awarded a penalty for Cochrane's barge on Yang, with Adam Idah's spot kick saved by Zander Clark.
Later, Hearts were awarded a penalty for Tomoki Iwata's handball in a game that also had goals for both teams disallowed for offside.
Following the defeat, as Celtic failed to move top of the table, Brendan Rodgers described the match officials as "really, really poor" and hit out at "shocking decision-making".
Kilmarnock's appeal over the red card shown to Lewis Mayo was also dismissed at a fast-track hearing on Tuesday.
He was sent off after a collision with Dundee's Scott Tiffoney in the draw at Dens Park on Saturday.
Mayo will serve a one-match ban in Kilmarnock's next league game - at home to St Mirren on March 16 - meaning he can play in the club's Scottish Cup quarter-final at Aberdeen on Saturday.
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