I also enjoy reverse-engineering recipes, so here's some thoughts.
I've never heard of this product, but I'd be surprised if it wasn't simply crushed red chili pepper flakes and/or black pepper. For a product like this, it's probably something commodity or inexpensive. Perhaps you've already tried these things...
A way to bisect this might be to search for a jar of pasta sauce that is as close as you can find to the basic flair of the target sauce. Then add things like crushed red pepper or black pepper to see where that takes you.
The box seems to say "just add tomato paste," so it's possible that it's something in addition to spicy-heat, like acidity or umami that you will get from tomato paste. Might be worth adding that, or other acid (like vinegar or Tabasco), or other umami like mushrooms or anchovy. Or even olives...
But if you're going that far, just make Martha's pasta puttanesca! :) It's fresh and simple.
After seeing the ingredient list in the comments above, it reads more like onion soup mix or instant ramen noodle packet than pasta sauce! I stand by my blind recommendations! Final notes:
- MSG and HVP are for umami (i.e., monosodium glutamate; hydrolyzed soy/vegetable protein). You can find this stuff at Asian markets, but... I personally wouldn't. :) As I posited above, you can get umami from more "conventional" ingredients, e.g., porcini mushrooms, anchovies, soy sauce, etc.
- Add black pepper and crushed red pepper flakes to your other favorite jar of pasta sauce.
- Abandon ship. Make puttanesca. :)