Mane scored for the first time in a Reds shirt and Origi grabbed an assist and a goal in the space of a minute, but Sturridge and James Milner gave Jurgen Klopp a potential headache before the big Premier League kick-off.
There are once again question marks over Sturridge’s fitness ahead of next week’s opener at Arsenal after the England striker missed out with what the club explained was a slight hip injury.
And Klopp was dealt another blow when Milner, who was playing in Liverpool’s problem left-back position, limped off moments before half-time.