With referee Bibiana Steinhaus making a dress rehearsal ahead of becoming the first female referee in the Bundesliga, Bayern, without Manuel Neuer, Jerome Boateng and Thiago Alcantara, crushed third division club Chemnitz 5-0, with Robert Lewandowski netting twice.
Pierre-Emerick Aubameyang scored a hat-trick as Dortmund, who missed half a dozen starters, barely broke sweat in their 4-0 stroll past amateurs Rielasingen-Arlen.
Bayern beaten by future manager in German Cup final
There were no upsets in the first batch of matches on Saturday as fellow Bundesliga clubs Mainz 05, Cologne, Eintracht Frankfurt and Freiburg also advanced with wins over lower-ranked opponents, as had Borussia Moenchengladbach and Bayer Leverkusen on Friday.
Stellar Bayern crush Leverkusen to reach German Cup final
'You saw Barca that you want to see' - assistant coach Schreuder after a 3-0 win over Levante