Although I don't know the Papa Louie series very well myself, I hear that this is well inspired from there. It definitely shows in the varied gameplay! The visuals are also nice to look at thanks to the colors and readability.
I did see some balancing issues while playing. Due to RNG pickups and rate of orders, sometimes the game feels like it simply decides not to let the player win even if they seem to do everything right - although on the other hand, health is incredibly easy to recover, almost trivializing the bullet hell half. Assuming that it wasn't an issue with scoring comprehension, one potential solution would be to somehow allow the player to target specific ingredients (whether clicking them to increase rates or walking around specific spots to hasten their appearance).
Aside from that, the short story and portraits are a lot of fun, and the entire concept makes for a good take on the theme! I had fun with it overall. ^.^