Manchester United suffered a 1-0 defeat by Championship (second division) side Derby County in the first leg of their League Cup semi-final at Pride Park on Wednesday.
Danny Webber headed a controversial winner with two minutes left to give the visitors a 1-0 victory on Tuesday.
Sheffield United marked their first top-flight appearance for 12 years by holding Liverpool to a 1-1 draw at Bramall Lane in the first match of the Premier League season on Saturday.