The Reds slipped to a 2-1 defeat at the Emirates Stadium in a close fought clash thanks to goals from Alex Oxlade-Chamberlain and Lukas Podolski before Steven Gerrard pulled one back..
After moving to within a goal of the London club, Luis Suarez – who had already won a penalty – appeared to be fouled in the area by Oxlade-Chamberlain.
Yet referee Webb refused to point to the spot, leaving the travelling side infuriated.
Arsenal then held on to book their place in the quarter-finals of the FA Cup, with the Merseyside club unable to find a leveller.
After the match Rodgers was frustrated with Webb, and questioned whether or not Suarez’s reputation caused the decision to go against his team:
“He’s always asking questions of defenders, and quite a lot of the time he doesn’t get what he deserves,” he told Sky Sports.
“The one at Chelsea (when Samuel Eto’o fouled Suarez in December) was a clear penalty. He’s got a penalty but should’ve deservedly had two penalties today.
“And if it is a penalty he should have it, irrespective of what his reputation is.
“I thought that was quite an easy decision for the ref.
“Luis has a touch, gets around him and it looks a blatant penalty.
“We’re bitterly disappointed to have not got that because then it just keeps our momentum going for the final stages of the game.”
Webb also irked the home fans after opting against giving Gerrard a second yellow card for a foul on Oxlade-Chamberlain.