Coutinho created the opener with a wonderful flick to Sturridge, who finished expertly, as Liverpool's dominant display from the off helped supporters forget about the departed Luis Suarez.
The Reds made it four through Jordan Henderson, who bundled in from close range from Sturridge's cross.
Borussia Dortmund were missing several star players, namely Liverpool target Marco Reus and Manchester United target Mats Hummels, but succumbed easily to a rampant Liverpool, who kick off their Premier League campaign at home to Southampton next Sunday.
10' - GOAL! Liverpool 1-0 Borussia Dortmund! Coutinho sets up the opener with a beautiful first-time flick that sends Sturridge clean through, and the England striker finishes with aplomb
14' - GOAL! Liverpool 2-0 Borussia Dortmund! Lovren finds space in the box to head in Gerrard's corner. Liverpool cruising.
49' - GOAL! Liverpool 3-0 Borussia Dortmund! Coutinho caps a fine display with a fine goal, drilling in with his left foot from Sterling's pass.
61' - GOAL! Liverpool 4-0 Borussia Dortmund! Henderson bundles in from close-range to guve Liverpool a fourth.
Can Liverpool survive without Suarez? On this evidence, they have a decent chance and the fact that they had different goalscorers will be of great encouragement to Brendan Rodgers. But Sturridge looked a little lost without his sidekick and Liverpool still need to sign a proven goalscorer to try to fill the void.
MAN OF THE MATCH
Coutinho (Liverpool): Superb from the first minute and deserved his standing ovation when he was subbed. Scored a fine goal and WHAT a flick for the opener!
Liverpool: Mignolet 6, Johnson 6, Skrtel 7, Lovren 7, Manquillo 6, Gerrard 6, Henderson 6, Sterling 7, Coutinho 8, Can 7, Sturridge 7.
Dortmund: Langarek 5, Piszcek 6, Papastathopoulos 5, Ginter 5, Schmelzer 5, Kirch 5, Kehl 5, Mkhitaryan 7, Jojic 7, Ramos 6, Aubamayeng 6.
THE MATCH IN A TWEET
- Sports & Recreation
- Borussia Dortmund
- Philippe Coutinho
- Raheem Sterling