The 23-year old was last week initially charged with 'not acting in the best interests of football' after video footage emerged of him singing about Heart of Midlothian being in administration.
The former Hibernian loanee was filmed performing the chant in a pub, directed at the Easter Road clubs Edinburgh rivals, who are struggling financially.
However, the SFA have now revised the charges against Griffiths and issued a new notice of complaint after extra footage arose of him singing in a racist manner towards former Hearts star Rudi Skacel.
Former Wolves forward Griffiths, who sang that Skacel was a 'refugee', has been accused of 'singing in public a song of an offensive, racist and/or discriminatory nature'.
A disciplinary hearing with the SFA has been set for April 24.
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