“Burnley have shown this season that they’re a tough team to break down, but I thought my players were outstanding tonight,” Rodgers told BBC Sport.
“Defensively we were very strong, limiting their opportunities and keeping a clean sheet.
“We were exciting and a threat going forward and probably should have scored more than two. Our movement, touch and technique in the vital areas was very good.”
Liverpool now turn their attentions to Sunday’s FA Cup clash against Blackburn Rovers at Anfield. Kick-off is 4pm.