For the cigar you are currently smoking, you can purge your cigar. This is a technique that requires you to blow out rather than suck in the smoke. Do this for several seconds. You can put a lighter to the lighted end as you do this, which will ignite the volatile gases that exit the cigar. The result will often be a less acrid smoke and a reset of flavors.
For the other cigars in your humidor, a resting period of a few months or longer can make a world of difference in your experience as the tobaccos settle down and meld into a more pleasurable experience, and can also result in a better and more consistent burn.