The league champions endured consecutive league reverses for the first time in three campaigns after being swept away 3-0 by the Magpies at the Sports Direct Arena on Wednesday night.
Stunning strikes from Demba Ba and Yohan Cabaye were rounded off by an embarrassing own goal from United defender Phil Jones.
While United are now lagging three points behind league leaders City in the Barclays Premier League standings, Giggs believes that his side can usurp the Citizens at their Etihad Stadium stomping ground in Sunday's FA Cup third round clash.
According to an article from The Daily Mail, Giggs said, "We have a great scoring record this season so hopefully this is just a one off and we can get back to scoring ways on Sunday."
"It is obviously a big game against City in the FA Cup. The atmosphere will be good, we'll take a load of fans there and hopefully we can get back to winning ways."
Giggs, who lasted the full ninety minutes against a rampant Newcastle outfit, conceded that his team were second best all night long on Wednesday night.
"You can have these nights, nobody likes them and nobody wants them but it can happen. You have got to give credit to Newcastle," he remarked candidly.
"They worked hard, closed us down and scored a couple of good goals so we have just got to take it and move on."
"It is a difficult place to come and get a win but we didn't play to our capabilities and when you don't do that against a team like Newcastle, who are riding high this season, you are always going to come unstuck."
"We started OK. Obviously their goal knocked the stuffing out of us a little bit but we were still in the game at 1-0 and thought we were going to create chances."
"We weren't too disheartened at half-time and we felt that we could get back into the game. It wasn't how we envisaged or hoped how the second-half would start. It was a great free-kick - you can't do anything about those unfortunately."
"Even at 2-0, we still felt we could get back into the game with just one goal and we had chances."
"We had a 10 or 15-minute spell when we created a couple of half-chances, Simmo (Danny Simpson) blocked one off the line from Wayne and it just didn't go for us."
Sir Alex Ferguson's charges have now registered 45 points from a possible 60, three behind Roberto Mancini's City side.