The Foals missed the chance to edge into the top five in the table despite a good performance in Sinsheim.
"I think it's good because we're able to play again so soon," Favre said at the pre-match press conference.
"It's going to be down to us to play our game and perform as we can."
Favre can rely on his side's unblemished home record this season, although Gladbach's director of sport Max Eberl says the team's away form, apart from the results, is nothing to be ashamed of.
"I don't think we've been bad or without a chance away," he said. "We've played well in all three of our away games, just we've not managed to keep a clean sheet and take the lead.
"We want to show what we are capable of tomorrow night."
Braunschweig showed they are capable of holding their own in the Bundesliga with a draw against Nurnberg last weekend, a result which relieves the pressure somewhat after four straight defeats.
"To claim we have only just arrived in the Bundesliga would suggest we were totally pathetic before," coach Torsten Lieberknecht told the SID agency.
"We earned praise after our defeats against Bremen and Dortmund and even in our weak games against Frankfurt and Hamburg, we had good phases.
"It's only normal that the lads need some time to adapt and all I can do is repeat what I've said: for us, playing in the Bundesliga is not normal, it's a huge honour and challenge for us."