The German giants qualified for the quarter-finals of the competition despite the loss, as they had won the first leg 3-1 at the Emirates Stadium in London last month.
Heynckes now wants his side to put their midweek disappointment behind them and win against Bayer Leverkusen away from home in the Bundesliga on Saturday.
"We'll play with complete concentration in Leverkusen," he told reporters. "We've put it behind us now.
"[Bayer] are a very good and creative team. It won't be easy, but we're capable of turning the corner."
Bayern are currently 20 points clear at the top of the Bundesliga table, while Bayer are third.