Hi Aldo, if you post the make and model of carburetor we can look for the overhaul manual for that model and perhaps see what the "first try" mixture settings are supposed to be.

As a rule of thumb, if the best setting is substantially different from what it is supposed to be, you may need to look for some other problem affecting it.
1. Is that 2 turn setting of the L screw before or after you removed the hornet nest from the muffler?
2. Does it require a lot of choke for quite a while after cold start?

What I am getting at here, is that there was probably a minor fault somewhere when you found you needed that 2 turn setting. It might have been the hornet's nest, or a very slight air leak from one of the carburetor insulator gaskets, or the metering lever height might not be precisely right. I won't suggest you might have missed a small piece of crud in some inaccessible area of the carburetor behind a welch plug. No doubt there are other possibilities as well.