The Scouser led Neil Critchley’s youthful side - which had the lowest average age in the club’s history - to a 1-0 victory in the fourth-round replay at a sold-out Anfield, with Ro-Shaun Williams’ 75th-minute own goal proving the difference.
Liverpool will now travel to Chelsea in round five.
At the age of just 19 years and five days, Jones broke Alex Raibeck’s 120-year-old record to become the Reds’ youngest skipper - and duly spoke of his elation at doing so.
“It’s an amazing feeling,” the Academy graduate told Liverpoolfc.com of the win.