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There was some controversy at the end with City wanting a penalty with the last kick of the game after the ball appeared to bounce off Benjamin Henrichs' hands in the box.
John Lundstram struck 10 minutes from time to give Rangers a 3-1 win over RB Leipzig and send them into the final 3-2 on aggregate after a see-saw clash at a rocking Ibrox.
Poulsen expressed confidence that the team will bounce back under new coach Domenico Tedesco.
The Dutchman, who had struggled this season after joining from Liverpool, struck in the 21st minute and headed in another goal six minutes before halftime.
Among the rules for the Bundesliga’s return are detailed instructions for coaches, including wearing a protective mask over their face as they work from the dugouts.
Leipzig's second win in their last six league games put them two points ahead of Borussia Moenchengladbach and Bayer Leverkusen with the top four qualifying for the Champions League group stage.
Goals from Marquinhos and Angel Di Maria put PSG 2-0 up at the interval and Juan Bernat added the third in the 56th minute for a comfortable 3-0 win over Leipzig.
With two minutes of normal time remaining, United States midfielder Tyler Adams snatched victory with a deflected shot from outside the box to set up a semifinal clash with Paris St Germain.
Results 1-8