Jeffers, whose loan at Whaddon Road has been extended on the agreement of City manager Aidy Boothroyd according to the Gloucestershire media, came on as a 58th minute substitute for Cheltenham who were a goal down.
The striker who will on international duty with England U19's this week against Slovakia against Crewe, set up Wes Thomas who scored with ten minutes left and two minutes later, Jeffers sprinted past Darren Moore to set up Josh Lowe for the winning goal for the Robins.
Kevin Thornton scored an 89th minute equaliser for Northampton in a 1-1 draw with Wycombe.
Robbie Simpson scored for Brentford in a 3-1 home defeat by Rochdale.
Clinton Morrison scored for Sheffield Wednesday in a 5-0 win at Hartlepool.
Craig Reid tucked home two penalties for Newport County in a 3-0 home over Kidderminster Harriers.