The phrase "flavorful punch" means that something has a strong and enjoyable taste. It is full of rich flavors that make a noticeable impact on your taste buds. Full definition
My sauce came in at only 2 smart points and packs a flavorful punch. (mybizzykitchen.com)
Bleu cheese is whipped with cream cheese for a creamy and flavorful punch. (thecreativebite.com)
I only made two minor changes: 1) add more peppers to the soup (I added serranos for extra heat) add 2) a bunch of fresh cilantro to the food processor when blending 1/3 of the soup — it gave it the perfect aromatic and flavorful punch. (connoisseurusveg.com)