Translation:The man is cooking.
I'm not sure I understand the question, but maybe this will help?
une cuisine → a kitchen or a type of meal "cuisine" (context will tell)
un cuisinier/une cuisinière → a cook
cuisiner → the verb "to cook"
Je fais la cuisine means I am making the dish or meal.
Je cuisine le poulet means I am cooking the chicken.
cuisiner is a verb that means "to prepare and cook (food) to eat". There is a difference between cuire and cuisiner. Cuire requires the construction faire cuire while cuisiner does not.
Also, one can faire la cuisine without actually cooking (salads, sandwiches etc).
Just to add one aspect to this: "faire cuire" is required because "cuire" on its own is intransitive. In "X cuit", it is "X" that has some heat applied upon. So that you can use it alone (ie, without the "faire") but only in the meaning of "the rice is cooking"
- the meat is cooking : la viande cuit
- I'm cooking the meat: je fais cuire la viande
Nouns like "homme" or "femme" require an article in front of them (le, la, l', les, un, une, des/the, a, an, "some").
Verbs such as "cuisiner" "to cook" immediately follow the subject (noun) with nothing in between.
L'homme cuisine une tarte. The man cooks a pie.
La femme mange la pizza. The woman is eating the pizza.
Nous buvons du thé. We drink (some) tea. *
- Note the "some" is optional and usually omitted in English.
Pronouns (je, tu, nous, etc.) do not need an article.