Huddersfield, thrashed 6-2 by Scunthorpe on Saturday, slid to their fifth consecutive away defeat at struggling Carlisle.
Teenager Steven Schumacher - on loan from Everton - gave Carlisle a flying start with a third minute opener and Brian Wake put them two up on the quarter-hour mark.
A fingertip save by Ian Gray saved Paul Scott's blushes in the very first minute after the defender's slip allowed Schumacher to curl a shot from just inside the box that the keeper turned past the post.
But Schumacher ghosted in unmarked to meet a deep cross from strike partner Craig Farrell to give the keeper no chance with an eight-yard header.
Gray was smartly down to turn a Wake shot round the post before he was beaten again.
Farrell robbed Scott and his throughball sent Wake clear to casually chip the keeper from 15 yards.
Little was seen of Huddersfield as an attacking force until two minutes before the break when Jon Stead met a cross from Danny Schofield with an acrobatic overhead kick that flew across the face of goal.
But the Terriers came out with more purpose after the break and Schofield was a shade over-elaborate in trying to set up Stead again, when a shooting chance looked more inviting.
Gray denied Wake with a one-handed stop in the 65th minute and substitute Craig Russell snatched at a chance, blazing a 20-yard shot over the bar with the keeper back-peddling after his rushed clearance had dropped perfectly for the Carlisle man.
Huddersfield piled on the pressure in the last few minutes, Matt Glennon pushing away a point-blank Andy Booth shot before Booth screamed another chance across goal and finally headed just wide from an Andy Holdsworth cross.