The Germans’ 2-1 win in Ukraine was not enough to overturn a 3-1 first leg deficit.
Also qualifying for the group stage was Celtic, who beat Helsinborgs 4-0 on aggregate, CFR Cluj beat Basle and Spartak Moscow held off Fenerbahce.
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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.