[snip] The Romans did later recover the lost legions’ eagles, one each in 15 AD, 16 AD and 42 AD. [/snip]
https://en.wikipedia.org/wiki/Publius_Quinctilius_Varus
A few years later Arminius was chased down, his forces got their asses handed to them, he fled like the coward he was, and eventually the Roman price on his head resulted in his killing by the kinsmen with whom he was staying.
Yes but two of these Legions were never rebuilt (XVIII briefly under Nero) and their losses of ~88% (~18k deaths & enslaved) deeply crippled both the actual military might and, more importantly, the 'invincible' reputation of the Roman Legions. Truly, this battle & loss probably marked the high-water of Rome, at least in the North.
The historian Seutonius writes of Augustus beating his head against a wall, crying; "Quintili Vare, legiones redde!" (Quintilius Varus, give me back my legions!) George A Custer was, by comparison, equally stupid and overly confident but a piker by comparison!