Holgate was involved in a verbal showdown with Liverpool's Roberto Firmino after his shove ended with the Brazilian tumbling into the stand at Anfield during the FA Cup Third Round tie last Friday.
Holgate reacted furiously at something Firmino said as they squared up to each other, accusing the forward of racist abuse.
No formal charge of racism has been levelled at Firmino by Everton or Holgate, nor did referee Robert Madley, who was standing between the two players, take any action but the FA are said to be investigating the matter.
The aftermath saw enraged Liverpool supporters combing through historical posts on Twitter, however, looking for dirt on Holgate which saw posts from 2012 and 2013 from the then teenager resurface.
Holgate has long since deleted the offending tweets but there are reports from outlets like The Telegraph that the FA could consider taking action against him regardless.
His age could be a mitigating factor in any censure from the game's governing body.