If on lexapro (escitalopram) and anxiety levels starts increasing again, dies the medication need to be adjusted?

Yes: Sometimes a slight increase in an ssri like Lexapro (escitalopram) will make all the difference in the world.

Not all the times.: Since anxiety may be transitory and due to situational factors the dose may not to be adjusted. Also there are other interventions for anxiety( eg cognitive behavioral therapy). But please, discuss with your dr..

Depends: Sometimes starting on an antidepressant or increasing the dose can increase anxiety. If it is not tolerable, call your doctor. Slow down on the dose increases. Tolerate your treatment at every step! if anxiety is gets higher despite treatment with no dose change, call your doctor to address all forms of treatment. Take 1200mg epa + 900-1000mg dha omega3fattyacids daily with -it helps as well.