Edu wrote a message on his Twitter feed which read: "Not sure what hurt more: result last nite or being racially abused by couple of r own fans as I'm getting in my car."
The Rangers Supporters Trust condemned anyone who might have abused Edu, who has been out all season with a knee injury.
RST spokesman David Edgar told Press Association Sport: "We would absolutely condemn that if that's the case.
"These are not Rangers fans and they should be caught and prosecuted to the full extent of the law."
Billy Singh, Campaign Manager for Show Racism the Red Card, said: "The racial abuse suffered by Maurice Edu last night was totally unacceptable.
"Would the same fans have reacted in the same way if he had scored the winning goal last night? "It proves that as a society we have a long way to go to eradicate this type of behaviour.
"Official statistics show that on average there are 14 reported incidents a day.
"Anecdotal evidence suggests that 80% goes unreported.
"Football is leading the way in trying to change peoples attitudes and behaviour within football grounds.
"I call upon fans of all Scottish clubs to challenge this type of behaviour not only within football but in society in general. Show Racism the Red Card will continue to spread the anti-racist message in football but also in communities throughout Scotland."
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