Hasebe Makoto (R) of Frankfurt vies with Daniel Olmo of Leipzig during a 2019-2020 season German Cup 3rd round match between Eintracht Frankfurt and RB Leipzig in Frankfurt, Germany, Feb. 4, 2020. (Xinhua/Lu Yang)

BERLIN, Feb. 4 -- Eintracht Frankfurt progressed into the quarterfinals after defeating RB Leipzig 3-1 thanks to Filip Kostic's brace in the last 16 of the German Cup on Tuesday.

Away side Leipzig started well and created the first chances in the opening period through Amadou Haidara, who narrowly missed the target from inside the area, while Patrick Schick was unable to beat Frankfurt goalkeeper Kevin Trapp from close range.

However, Frankfurt soon scored at the other end as Marcel Halstenberg's handball inside the box allowed Andre Silva to break the deadlock from the penalty spot in the 17th minute.

Frankfurt gained momentum but it was still the visitors who posed more danger in front of goal, though the score remained 1-0 at the half-time whistle.

After the restart, Leipzig started where they left off, controlling possession but lacking the accuracy and penetration to level the scores.

Instead of restoring parity, it was Frankfurt who scored again against the run of play as Kostic clinically finished after a fast break from Sebastian Rode with 51 minutes gone.

Leipzig coach Julian Nagelsmann had to react and threw on Timo Werner as well as new arrival Dani Olmo. Leipzig's winter signing rewarded Nagelsmann's trust as the Spaniard reduced the arrears after tapping home Angelino's square pass in the 69th minute.

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