Sokratis Papastathopoulos scored the goals as Peter Stoger made a successful start to life at Borussia Dortmund.
Andriy Yarmolenko and Shinji Kagawa scored wonderful goals for Borussia Dortmund but Peter Bosz was far from happy with the win at Augsburg.
Borussia Dortmund's chief shot down Cologne's claim that an "irregular" use of the VAR should result in a replay of their heavy loss.
Pierre-Emerick Aubameyang and Maximilian Philipp were both at the double as Borussia Dortmund sounded a warning to their Bundesliga rivals.
Sokratis Papastathopoulos says Ousmane Dembele should follow Pierre-Emerick Aubameyang's example amid Barcelona interest.
Juventus reportedly want Sokratis Papastathopoulos to replace Leonardo Bonucci but Borussia Dortmund are not prepared to accept offers.
Borussia Dortmund's inability to compete for the Bundesliga title has defender Sokratis Papastathopoulos considering his future at the club.
Sokratis Papastathopoulos said his goal in Borussia Dortmund's 3-1 victory over Eintracht Frankfurt was important for him mentally.
Marco Reus marked his return from six weeks out in style, before Pierre-Emerick Aubameyang got his 26th Bundesliga goal of the season.
With emotions still high as Sokratis and his team-mates counted their blessings, the Greece international hit out at Europe's governing body