How did the battle at the Teutonburger forest change the relationship between Rome and the Germanic border tribes?

The Germanic border tribes wiped out 5000 legionaires. The relationship went from uneasy passivity to outright war. Later, Marcus Aurelius crushed the invading Germans. However, the Romans were forced to rely more and more on tributary "barbarian" tribes for their military, and, eventually, some of those tributary allies ended the Western Roman Empire.

It outraged Caesar who cried and banged his head and beat his breast before he sent in about a couple dozen legions to recover the Eagles of the 3 lost Legions.

Made things hostile and stopped the casual Roman adsvance.