The incident occurred during their match against Cape Town City in January.
READ: Wits player apologises for pushing referee
Wits lost 2-0 to the Citizens on the day and a referee decision went against them, leading Doutie and Goss to attack the referee.
They duo were each banned for eight matches, of which four were conditionally suspended, according to a PSL statement on Wednesday.
Wits were sanctioned with a fine of R 150 000 for bringing the League into disrepute.
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