The Liverpool legend was delighted with his side's 3-0 win.
Two penalties from skipper Gerrard and a third goal from Luis Suarez gave Liverpool a famous victory at Manchester United's expense and moved them to within four points of league-leaders Chelsea with a game in hand.
The result has only intensified talk that Brendan Rodgers' side can go all the way and claim the title, while it has further dented David Moyes' reputation in only his first season at the Manchester club.
Carragher, meanwhile, has fond memories of winning by a three-goal margin at Old Trafford himself, as he was part of the Liverpool side that left United with a 4-1 win in 2009.
Gerrard also scored from the penalty spot that day but the goalscoring plaudits were more evenly shared out, with Fernando Torres, Fabio Aurelio and Andrea Dossena all hitting the back of the net.
Still, former Liverpool defender Carragher feels Sunday's win was far more significant and enjoyable to watch for Reds fans all across the globe.
"On my way home from White Hart Lane on Sunday evening, I sent Steven Gerrard a message as I do after most Liverpool games," Carragher wrote in his column in the Daily Mail.
"Normally I’ll ask him how he felt the match went or for his views on any major talking points but this time, having watched Liverpool dismantle Manchester United, no questions needed answering. So I punched the words ‘Twice as good as 2009’ into my phone."
One can only wonder what 33-year-old Gerrard texted back, with the Liverpool captain on cloud nine after a magnificent individual and team performance.
Hopefully, the Reds midfielder wasn't too downhearted after missing a third spot-kick late in the game - a feat he would have become the first Premier League player to achieve.
The fact that he scored two was enough to be "twice as good" as 2009, however, and if Liverpool do go on to win the title, their 3-0 win at Old Trafford might become one of their most fondly remembered nights in recent history.
Can Liverpool go all the way and win the Premier League?