You do not need any FDA involvement to get your sauce out there.
That said...if you intend to put things like "organic", "low fat" or other nutritional claims on the label, then you may get some involvement from the FDA. I've noticed some organic products have a "certified byXYZ Tilth" or something. I believe in Washington state, it's the state that certifies the farmers as organic, not the FDA. Your state health or dept of AG should have all that inof on a website. And there may be some requirements that if a product is claiming to be "organic" it must be made in a facility that is certified organic and they cannot make non-organic products(????) [I may be way off on that...I just seem to remember something about that when I was looking for a co-packer to do an organic spice for me. Don't take my word for it, but be aware and ask about it...]
Also, the FDA is not your first step in getting your sauce legal. You need to contact your local health authority first. They will take a look at the sauce and can often times make a determination on the spot if it is OK to make/sell based on your recipe. If the local authority has any question about the recipe, they will direct you to go to a Process Authority who will review your recipe, pH, process etc. The PA will tell you if there are any problems with the ingredients or the process.
I make 15 different products, and the only one that needed anything past the process authority was the BBQ sauce because it contains butter. For that sauce I had to get registered with the FDA as a processor. If you work with a co-packer, they can most likely take care of any FDA issues. The FDA shouldn't be directing you to add certain ingredients to your recipe. They may say the pH is not right, add more acid, or the pH is not right so it must be processed differently than a hot fill/hold.
Sorry I can't answer more about the organic side of things. But check out your state's website. They usually have pretty good information regarding food processors and organic certifications, and also labeling requirements.
Good Luck-
SL