Blend all ingredients together, except cheddar. Divide mixture into 8 and shape into balls.
Press a finger into a ball and press ¼ cup of cheddar into hole. Close opening (so cheese is in the centre) and flatten into a patty. Chill until ready to cook.
Grill or pan-fry burgers until cooked through, about 5 minutes on each side. Serve burgers on egg buns and dress as desired.