Liverpool's now lost as many matches in the Premier League as they did over the entire last football season.
The Reds slumped to a second defeat when Aston Villa won 3-1 at Anfield.
Liverpool'first loss to Villa in eight years leaves last season's runners-up six points adrift of pacesetters Tottenham and Chelsea after three matches.
The damage was sustained before half time with an own goal from midfielder Lucas Leiva before goalkeeper Pepe Reina beaten by a header from Villa's Curtis Davies.
Fernando Torres pulled one back for Liverpool in the 72nd minute, but Villa's two-goal cushion was restored inside three minutes when Steven Gerrard conceded a penalty.