It depends on the Ph of the sauce in question. Anything with a Ph of 4.5 or less is considered " Shelf Stable " or does not require refrigeration. All of my sauces fit into this category. I have some sauce in my pantry that has been there ( open ) for months that is still good. Problem is you can't tell if a sauce is shelf stable unless you have a Ph meter. If it says refrigerate after opening it may be an indication that it is not, however, I put it on my bottles because it stays a little fresher in the fridge.
The "Sauce Whisperer"
Award Winning Smokers, Sauces and Spices
PERFECT, PERFECT 180 CHICKEN 2011
1ST. PLACE PORK
AMERICAN ROYAL (OPEN) 2012
PERFECT SCORE180 IN RIBS 2013
BEST SAUCE IN THE WORLD ( BLUE COLLAR )
AMERICAN ROYAL 2009
BEST RUB IN THE WORLD ( HEFFER DUST )
AMERICAN ROYAL 2007
CISC Master BBQ Chef