When I use the mesh method for my sauce I normally blend, mesh, then cook. I only cook then mesh if there is an extra ingredient that requires cooking to have it's full effect on the sauce. this would be items that turn to mush while cooking, or that thicken the sauce.
There are many ways to make smooth sauce. First though you need to understand what affects the texture,
and flavor of your sauce when it comes to components of the pepper.
Basic pepper parts to consider when making your sauce.
1) Skin - Mostly fiber, almost no flavor
2) Meat - Lots of flavor...
Seen a lot of people asking about powder make methods. Figured I would post a method is use to make "Fine" paprika like grind. The skinning part will only really work for meatier peppers.
First off the peppers I'm working with. These are Sweet Hungarian. In this case I am literally making...
Seeds also add a lot of fiber, and tend to only add bitter or nutty tones. Removing the seeds (NOT THE PITH) will make you powder denser, and stronger.
For example look here. http://thehotpepper.com/topic/49935-begin-salsaladys-stuffed-pepper-throwdown/page-4 Where I candied cherry peppers, and soaked them in rum so they would still be soft when they were frozen.
I have a post on making hard candied peppers. The soft method in the thread should be done first.
Yes you can grind them afterwards, but they get sticky fast if left exposed to air.