The Liverpool midfielder apologised to both the Reds' supporters and the Manchester United manager but accused the Scot of contributing to his dismissal at Anfield
Shelvey posted his apology on Twitter but went on to hit out again at Ferguson in a tweet that was later removed.
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The former Charlton Athletic midfielder also tweeted a picture in an attempt to prove that Jonny Evans, who was on the other end of the red card challenge, should have been sent off, which was also deleted.
The 20-year-old also apologised to the Liverpool fans but insisted that there was "no way" he would have pulled out of the tackle due to the importance of the match.
"I apologise to the fans for getting sent off but no way was I pulling out of that tackle in a game of that importance. Im sorry," Shelvey posted on Twitter.
"I have also apologised to sir Alex, just where I come from people don't grass people up to get someone sent off."