Robert Lewandowski struck twice in three second-half minutes to steer Bayern Munich to a 2-0 victory over Werder Bremen for their second successive win of the new Bundesliga season.

The Poland international scored his first goal in the 72nd minute with an audacious backheel and added another with a fine solo effort before Werder had time to recover.

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The hosts had kept Bayern at bay for much of the game but gradually ran out of steam as the champions launched a relentless assault on their defence. Bayern, who have now won their last 16 games against Werder in all competitions, are on six points, the same as Dortmund and Hamburg, who won 3-1 at Cologne on Friday.

With the goalkeeper Manuel Neuer making his first appearance since breaking a bone in his foot in April, Bayern hit the crossbar and created two more chances as Werder struggled with their pace.

The hosts managed to gradually balance it out but Arjen Robben still sneaked into the box, only to see his glancing header roll wide of the post just before the break.

The visitors kept at it and were rewarded in the 72nd minute when Kingsley Coman shook off his marker and cut back towards goal for Lewandowski. The 29-year-old ran halfway across the pitch and slotted the ball through the legs of keeper Jiri Pavlenka for his third goal in two games.

In Saturday’s late kick-off, Borussia Dortmund defeated Hertha Berlin 2-0, with Nuri Sahin scoring the second goal after setting up Pierre-Emerick Aubameyang for the first. Dortmund’s second win keeps them at the top of the table, ahead of Bayern on goal difference.

Elsewhere, Augsburg took the lead against Gladbach in the first minute through Alfred Finnbogason, but needed a late equaliser from Sergio Cordova after the visitors rallied to take the lead through Oscar Wendt.

Hoffenheim bounced back from their Champions League exit with a hard-earned draw at Leverkusen. Mark Uth’s 70th-minute goal earned the visitors a point after they had twice fallen behind.

Daniel Didavi’s 22nd-minute goal was enough for Wolfsburg to win at Frankfurt, and promoted Stuttgart earned their first league win of the season against Mainz thanks to a header from Holger Badstuber – the defender’s first Bundesliga goal since 2009.