Premier League - Ferguson condemns 'disgrace' Suarez
Ferguson was speaking after United's 2-1 Premier League win against Liverpool at Old Trafford, which was overshadowed by Suarez's pre-match snub of Evra.
The Uruguayan, who was banned for eight matches for racially abusing Evra last October, ignored the United captain's outstretched hand, moving straight to David De Gea.
Evra attempted to grab Suarez's arm, but the striker shrugged him off. Rio Ferdinand, next in line to De Gea, then refused to shake Suarez's hand.
Ferguson said: "I could not believe it, I just could not believe it.
"He's a disgrace to Liverpool Football Club, that certain player should not be allowed to play for Liverpool again.
"The history that club's got and he does that and in a situation like today could have caused a riot. I was really disappointed in that guy, it was terrible what he did."
"It created a tension, you've seen the referee didn't know what to do about it.
"It caught him off guard. It was a terrible start to the game, a terrible atmosphere it created."
There was further trouble at half-time, when several players were involved in a confrontation in the tunnel.
The final whistle prompted wild celebrations from Evra, who was led off the pitch by security staff.
Ferguson said of Evra's exuberant reaction: "He shouldn't have done that."
Liverpool manager Kenny Dalglish initially tried to play down the incident before getting involved in an angry exchange with Sky Sports reporter Geoff Shreeves
Dalglish said: "I never knew he never shook his hand. I don't know, I wasn't there, I never saw it. We haven't looked at the handshakes, but that's contrary to what I was told."
However, when Shreeves put it to Dalglish that the incident led to confrontations later in the match, the Liverpool manager lost his cool, saying: "I think you're very severe and I think you're bang out of order to blame Luis Suarez for anything that happened here today."
Dalglish then bizarrely suggested Sky was to blame, pointing out the relative lack of trouble at the clubs' recent FA Cup match which was screened by another broadcaster.
Suarez later tweeted: "We lost and we are sad because we have made a big effort... Disappointed because everything is not that it seems..."
Meanwhile, Ferdinand explained his decision not to shake Suarez's hand, saying: "I lost all respect for the guy. After seeing what he did, I decided I couldn't shake his hand."