Jurgen Klopp's Reds dumped Bayern out of Europe on Wednesday with a deserved 3-1 return-leg win, handing Bayern a last-16 aggregate defeat by the same margin, at the Allianz Arena.
"Bayern urgently need radical change to still challenge for titles," Germany's daily Bild said -- the lineup which lost to Liverpool had an average age of 30.
German pundits agreed with ex-Bayern coach Louis van Gaal who late last year said senior club bosses had "failed to renew the squad."
Bayern had no answers as Sadio Mane took advantage of a mistake by 32-year-old Germany goalkeeper Manuel Neuer to score the opener from a near-impossible angle before Liverpool defender Joel Matip netted an own goal to put the hosts level.
Virgil van Dijk killed Bayern's hopes with a crisp header before Mane again breached the defence late on from a Mohamed Salah chip, leaving Bayern coach Niko Kovac to concede his side deserved to lose.
Robert Lewandowski, 30, the Bundesliga's top-scorer in 2018/19, failed to score for the seventh straight match in the knock-out stages of Europe, complained that Bayern were "too defensive".
For the first time since 2011, the Bavarian giants have failed to make the Champions League quarter-finals.
As Kovac glumly admitted, the German Cup and Bundesliga -- at home to mid-table Mainz on Sunday -- are their focus now.