The Reds man had some choice words for the Red Devils manager following his dismissal for a clash with Jonny Evans but the Scotsman insisted that the midfielder is at fault.
Ferguson's side was able to scrape the win thanks to Robin van Persie's penalty in 81st minute after the Reds had been reduced to 10 men in the first half.
Shelvey vented his anger at the United boss as he was leaving the field and posted on Twitter after the match claiming that the 70-year-old had contributed to the referee's decision to award a red card.
"I think it's a clear sending off, I've absolutely no doubts about it," Ferguson told MUTV. "I've seen the replay. It was reckless. Jonny Evans, who has dived in, went for the ball and got the ball, no question about that, but Shelvey was nowhere near getting the ball and could have given Jonny Evans a real bad injury. He was very lucky, actually.
"He [Shelvey] came and blamed me. Why not? Why look at himself in the mirror? Just blame someone else. I think the boy's young and when he looks at it again he'll realize the stupidity of it. He may apologize, he may not."
Ferguson admitted that he was not pleased with his side's performance but expressed his delight at sealing an important result at Anfield.
"In the last four years here we haven't played well," Ferguson said. "Today at least we've got a result. Hopefully that's a turning point for us because if you look back over the years we always did really well here.
"I think it was about five, six, seven years in a row we did exceptionally well, but it goes in cycles anyway. Before we had that run they had a period in the late '80s of getting results against us, so it's maybe our turn to start."
The manager went on to say that despite a poor showing, he felt his veterans got his side through the match.
"I thought we were poor, to be honest with you," he said. "I think the last four years we've allowed the crowd to get to us a little bit - they give fantastic support to their team and they really dominated the first half.
"Second half they got a great start. With 10 men I thought that was a great boost to them because it was something to hold on to, but credit to the players in that respect; the second half we played much, much better, but we were against ten men. I think Scholes, Carrick and Giggs' experience got us through."
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