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A fired-up Bruno Guimaraes led from the front, rising above Milos Kerkez to nod a goal back for his side just before the hour.
22-year-old Will Osula was then introduced - the only recognised striker in the squad - and slotted home after Liverpool failed to deal with a simple long ball that was flicked on by Dan Burn.
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Gordon was originally shown a yellow card, but VAR recommended that the referee go to the pitchside monitor.
After a review, Simon Hooper upgraded the booking to a straight red card, meaning the Magpies forward will now miss their next three domestic fixtures.
He picked up a blocked effort from Cody Gakpo, going on a short run before drilling a low strike into the bottom corner.
The 24-year-old will be available in Europe for Newcastle's Champions League opener in the week commencing September 15.
He will then miss their Premier League away match at Bournemouth on September 20, before returning domestically for Newcastle's Carabao Cup third round tie in the week commencing September 22.
The next Premier League game the England international will be available for is Newcastle's home match against Arsenal on September 28, live on Sky Sports.