You don't mention what grape varietal you are inquiring about. Pyrazine gives a vegetal aroma to the wine like green bell pepper. If that is what you are referring to, it can be mitigated by ensuring the fruit has full sun exposure (especially Cab Sauv) and adding some granulated oak to the must while it is fermenting.
On the other hand, it sounds like you are describing tannin. I think a great way to get a sense of how much tannin is in your wine is sensing how much "sandpaper" resistance your tongue has against the roof of your mouth when you taste it. You can reduce the tannin in your wine by shortening the skin contact during fermentation. This means pressing after only a few days rather than letting it ferment to dryness before pressing. If it is still too tannic, you can reduce the tannin level in your wine by dosing it with gelatin. I've used the "liquigel" stuff with success there.