If a recipe calls for a jar of pasta sauce, and doesn’t qualify “pasta sauce” further, assume the writer means a tomato-based pasta sauce.
Pasta sauces can also be creamy, or oil-based, etc.
One of the most misunderstood pasta sauces is the white creamy sauce known as “Alfredo Sauce”, which doesn’t actually exist as a sauce in its own right, but rather comes into being as part of the dish.