Shelvey and Ferguson clashed after the Reds midfielder was sent off yesterday.
Shelvey did say sorry on Twitter before deleting the posts as he also hit out again at Ferguson while apologising.
He tweeted: “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. I’m sorry.
“I have also apologised to Sir Alex, just where I come from people don’t grass people up to get someone sent-off.”