Reus played the full game for Borussia at the Veltins-Arena, and despite going close on a number of occasions, was left hugely frustrated at the final whistle of a Revierderby in which, by his own admission, Dortmund fell well below their usual standards.
Second-half goals from Evgen Konoplyanka (50) and Naldo (82) handed Schalke their 16 win of the league season which sees them 20 points behind leaders Bayern Munich.
The top four in Germany qualify for the Champions League.
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Victory saw Schalke pull four points clear of third place, while Dortmund drop to fourth.
The Belgium global has scored nine goals in 13 appearances, as Dortmund sit fourth in the Bundesliga table with four games of the season remaining.
"We brought a lot of passion onto the pitch", Faehrmann said. Marco Pjaca sent the ball to Caligiuri, who stopped it for Naldo.
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Nemanja Matic 6 - Lost the ball on too many occasions in the first half but ultimately did his job at the base of midfield. Old Trafford was numb after this disappointing defeat so soon after the delights of the derby triumph.
The hosts threatened again moments later as Amine Harit lined up a shot from distance that drifted wide of the right post, while Guido Burgstaller dragged an effort to the left of the target on 13 minutes.
The striker has been in fine form for Dortmund since joining on loan from Chelsea in the January transfer window; he failed to break into the side on a regular basis at Stamford Bridge.
The local Ruhr Nachrichten newspaper reported the Belgian striker, who is on loan from Chelsea, is suspected to have suffered a lower-leg fracture.
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She was driving the SUV, and had a blood alcohol level of.10%, which is over California's legal limit to drive, .08%, police said. A specialized team of accident investigators is trying to figure that out with help from the FBI, Carpenter said.