Dortmund opened the scoring when debutant Marco Reus struck early on.
Theodor Gebre Selassie levelled with 15 minutes left for Werder, but just over five minutes later Goetze pounced to steal the points for the champions.
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.