Griffiths admitted singing that the Czech midfielder was a ‘f***ing refugee’ while in a bar with Hibernian fans before an Edinburgh derby in March 2014.
The Celtic striker was served a Notice of Complaint over the incident, with a separate ongoing police probe delaying any decision.
Griffiths pleaded guilty earlier this month, saying he ‘apologised unreservedly’ for the incident. He was admonished by the judge but faced no further punishment.
But a judicial panel today accused the 25-year-old of ‘not acting in the best interests of association football by singing in public a song of an offensive, racist and / or discriminatory nature.’
Griffiths was hit with a two-match ban, suspended if the player breaches disciplinary rule 77 before the end of the current season, and fined £2500 by the Scottish FA.