What we do is, we decide who leads - usually it the one who knows the recipe at heart.
The leader assigns tasks and the other does them. Can be stuff like cutting onions, making a sauce and so on. Then the other gets his own corner where they simply do tasks.
We put music we both like as well.
My partner is a chemist, and she becomes an absolutely despotic autocrat when we try to cook together.
As an husband, my wife definitely appreciates it if we cook together. I enjoy it, she enjoys it, and it makes our food more delicious. Plus it’s am exercise in how you work as a team as a family.
The secret is that all those ideas come from when we had big open kitchens, now most people can’t afford that
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My girlfriend and I discovered it works well if one of us cooks and the other cleans at the same time