Shakhtar Donetsk's Taras Stepanenko (L) reacts as Bayern Munich's Thomas Mueller (3L) celebrates with Sebastian Rode (2L), Mario Goetze and Rafinha (R) after scoring a goal during their Champions League Round of 16 second leg soccer match in Munich, March 11, 2015. [Photo/Agencies]

Bayern needed only four minutes to open their account after Mario Goetze was brought down by Kucher and Thomas Mueller converted the spot-kick.

It was the fastest red card in Champions League history from the start of a game and Mueller's fourth goal this season, all from penalties.

The setback forced a complete change of plan for Shakhtar coach Mircea Lucescu but Bayern were relentless with Arjen Robben missing a huge chance after narrowly failing to connect with a Robert Lewandowski cutback in front of an empty goal.

The Dutchman's thundering drive then sailed over the bar before he went off with a thigh injury after 19 minutes with a thigh injury.

The substitution did nothing to take the pace out of the Germans' attacks, with the hosts hitting the post from a Robert Lewandowski header.

Jerome Boateng did better in the 34th, tapping in on the rebound after a Lewandowski shot was temporarily cleared with Shakhtar's defence in complete disarray.