A Thomas Müller penalty and second-half strikes from Sebastian Rode and Mario Götze sealed the win, although the result was never in any doubt in for the Bundesliga leaders.
With Bayern having qualified for the knockout rounds in top spot after Matchday 4, it was no surprise that Pep Guardiola made several changes for what was a dead rubber of a fixture, opting to give key first-team members a rest. As such, youngsters Pierre Hojbjerg and Gianluca Gaudino both started in midfield, alongside Sebastian Rode and Bastian Schweinsteiger, making his first start since returning from injury.
Yet it was the visitors, for whom nothing but victory would do to ensure qualification, who carved out the first opening when Ahmed Musa outmuscled Gaudino on the right-hand edge of the box and crossed for Seydou Doumbia, who headed narrowly wide. Bayern soon settled, however, and began their customary domination of possession. The inevitable goal was not long in coming thereafter, with Müller slotting in from the penalty spot after Frank Ribery was felled in the box.
The hosts survived a scare when Doumbia somehow skipped away from a clutch of Bayern players to go one-on-one with Manuel Neuer, but the FIFA Ballon d’Or finalist made an outstanding save. Robert Lewandowski and Arjen Robben were brought on at the start of the second period and the latter was soon the best player on the pitch, tormenting the visiting defence with his mazy runs and going close to adding to the scoreline on two or three occasions.
Yet it was clear that Bayern had nothing riding on the game and they were happy to cruise along on auto-pilot, defending robustly but without looking to score at all costs. They nevertheless went close to adding to their lead when Götze’s clever through-ball found Lewandowski, who rounded the goalkeeper and hit the post, before Rode and Götze both found the net late on to add greater gloss to the scoreline and dump their visitors out of the competition.
Bayern: Neuer - Boateng, Dante, Bernat - Hojbjerg, Rode, Schweinsteiger, Gaudino (Weiser 73’) - Müller (Lewandowski 46’), Götze, Ribery (Robben 46’)
CSKA: Akinfeev, Mario Fernandes, Berezutski, Ignashevich, Nabakin - Wernbloom, Natcho (Tosic 66’) - Dzagoev, Eremenko (Milanov 82’), Musa (Efremov 90') - Doumbia
Goals: 1-0 Müller (Pen. 18’), 2-0 Rode (84'), 3-0 Götze (90')
Jonathan Stockitt reporting from the Allianz Arena