האוכל של שרה טעים
I got a little confused we I saw the letter ש followed by words. I thought to myself that I was being ecposed to 2 possessive markers (Genitive case).
Then, I realized that שרה is not a possive term but a personal pronoun that just happened to start with with the letter ש.
If I were to translate this, it would be as follow:
The food of/'s Sarah [is] tasty.
The food of Sarah is tasty. Or another possible version in my opinion will be:
Sarah's food is tasty.
If I were to write this in Spanish:
La comida de Sara es deliciosa.
If were to write this in German (using the Genitive Case)
Das Essen der Sarah ist lecker.
Saras Essen ist lecker.
In German they say the Genetive case is falling out of use because people use the Dative case instead of the Genitive Case. I hope it doesn't fall out of use because it is really cool im my humble opinion!
This being said, a German might say using the Dative Case:
Das Essen von Sarah ist lecker.
I hope my comment might help someone else if having certain doubts. Thank you!
The most natural way to say this in English is "Sarah's food." Even "the food of Sarah" is unnatural, because Sarah is a person.
I think the basic rule is this: Whenever an object is part of another object, we often use "of" (examples: the roof of the house, the leg of the table). Whenever an object belongs to a person, we use 's. (Examples: "Sarah's food" means the food that belongs to Sarah or the food that Sarah made; and "my brother's house" means the house that belongs to my brother.)
"By" is okay if you really want to emphasize a brand name--maybe like "the car by Toyota," I suppose. Or, as someone else said, you can add "made": "the food made by Sarah" is fine in English. It's not a possessive, but it gives the right meaning.
"Of" denotes "belonging to" and probably in this case "made by". "By" in this instance sounds more like "the food that happens to be next to Sarah".
With the disclaimer that my Hebrew is still elementary, it's my understanding של usually means "belonging to". "The food by Sarah" doesn't, IMO, sound like the food belongs to or was made by Sarah, it sounds like it just happens to be next to where she is. YMMV!
The structure is (usually) ה- של מישהו, and if there is an adjective that needs to be definite too. האוכל הטעים, הסוס החום, השמים הכחולים. (There are some exceptions that are considered to be definite by default and don't require a ה like אמא or אבא, so אמא שלי not afaik האמא שלי.)
The most literal translation would probably be "the something of someone", which is correct if archaic in English, where we usually use the possessive 's construction. But that might be a way to understand how the construction works.
And like I say, adjectives attached to a noun also take the definite article, so it's האוכל הטעים (lit. the food the tasty) because both of the words need the ה in order for the phrase as a whole to be definite.