I think it sounds a bit tacky to be honest and I don't like names in capital letters like that - it's like someone is ordering me to do it and I don't repsond well to that!
I also actually love the name 'The Little Sauce Company' - it makes the product sound tasty, it sounds local, home-made, healthy and wholesome. Which by the sounds of it is the kind of prduct you have.
'TRY IT Sauces' has connotations of Chicken Tonight for me I'm afraid....