The Red Devils remain in contention for a semi-final spot after seeing out a 1-1 draw at Old Trafford on Tuesday night.
Following the result, Carrick wrote on Twitter: "Another special night at OT. Support was great boys played well now it's all on next week. Gotta try n get to sleep first tho. #WideAwake."
One user, who supports United's arch rivals Liverpool, decided to launch a dig at Carrick's playing style, but the 32-year-old was quick to respond.
What a great view tho eh— Michael Carrick (@carras16) April 2, 2014