When you cook something (Let's say "seafood pasta") by following a recipe, do you say "I am cooking seafood pasta from a recipe"? i.e., Do you say "cook ... from a recipe"? Or do you say "cook ... after a recipe? Or else?
Yes, saying that we cook or make something from a recipe is perfectly idiomatic. There are numerous examples extant:
You usually "follow a recipe"
- Baking a cake isn't difficult - it's just a matter of following the recipe.
- I never follow recipes exactly when I cook - I just use them as rough guides.
However, you can also "cook a recipe":
- Yesterday, I cooked the "Chicken doused in fresh coconut paste" recipe and it was incredibly tasty.