Two first-half goals killed the contest, Ronan Murray opening the scoring before Risser atoned for the gaffe that helped cost Swindon the Johnstone's Paint Trophy to leave Barnet just three points above the relegation zone.
Murray put the visitors in front after 13 minutes, beating the Bees' offside trap and coolly slotting into the bottom-left corner past Dean Brill.
Andy Yiadom blazed over a glorious chance to level from seven yards before Risser tapped in James McEveley's free-kick at the back post to double the Robins' lead just past the half-hour.
In first-half injury time, Izale McLeod missed a great opportunity to get Barnet back in it with Wes Foderingham smothering the ball after the striker delayed in front of goal.
Paolo Di Canio's men then defended stoutly after the break to dispel any chance of an upset and re-establish their stranglehold on League Two.