Dortmund sacked Favre after Saturday's humiliating 5-1 loss to Stuttgart - their heaviest home defeat in over a decade - and placed Terzic in charge for the rest of the season.
The former Besiktas and West Ham assistant will take charge of BVB for the first time when they travel to Werder Bremen in the Bundesliga.
And Terzic, who also worked as a scout during Jurgen Klopp's time at the Westfalenstadion, has made clear the Stuttgart performance can never be repeated.
"The last 48 hours for me have not been normal because Saturday's defeat hurts," he said at a news conference on Monday. "I want to thank Lucien - we worked very well. Now everything is moving fast and we have to show a reaction. What we saw on Saturday was not Borussia Dortmund. We have to show a different face tomorrow."