Siz bu mercimek çorbasını içince tarifini sormadan edemeyeceksiniz.

In Turkish, subject pronouns are often optional because the verb ending already shows the person.

• edemeyeceksiniz already means you will not be able to
• siz is added for emphasis, clarity, or politeness

Also, siz can mean either:

• you all (plural)
• you in a polite/formal singular sense

So here it gives the sentence a direct, slightly addressed-to-the-listener feel.

Because it is the direct object of içmek and it is definite: this lentil soup.

Breakdown:

• mercimek çorbası = lentil soup
• mercimek çorbası-nı = the lentil soup as a definite object

The -ı / -i / -u / -ü accusative ending marks a specific direct object. Since the phrase already ends in a possessive-like compound ending -sı, the accusative appears as -nı.

So:

• bu mercimek çorbasını = this lentil soup as the thing being drunk

For a similar reason, but with an extra layer.

tarifini can be broken down as:

• tarif = recipe
• tarifi = its recipe / the recipe of it
• tarifini = its recipe as a definite direct object

Here, the recipe belongs to the soup, so Turkish uses a possessed form. Then, because tarifini is the object of sormak (to ask), it also gets the accusative.

The n is a buffer consonant that appears before case endings after a possessive ending.

So tarifini sormak is literally something like to ask for its recipe.

Because there are really two verbs, and each verb has its own object.

1. bu mercimek çorbasını içince

   • verb: içince
   • object: bu mercimek çorbasını

2. tarifini sormadan edemeyeceksiniz

   • main idea: you won’t be able to help asking
   • object of sormak: tarifini

So the sentence contains:

• one thing you drink
• one thing you ask for

içince comes from içmek (to drink) plus -ince.

This ending usually means:

• when
• once
• after

depending on context.

So içince here means something like:

• when you drink
• once you drink
• after you taste/drink

In this sentence, the sense is: Once you drink this lentil soup...

In Turkish, soup is normally something you drink:

• çorba içmek = to drink soup

That is the standard everyday expression. Even though English often uses eat soup, Turkish usually uses içmek.

So mercimek çorbasını içince is completely natural.

This is a very common Turkish pattern:

• -madan / -meden edememek

It means:

• to be unable to avoid doing something
• to not be able to help doing something

So:

• sormadan edememek = to be unable not to ask
  = to be unable to help asking

And in your sentence:

• sormadan edemeyeceksiniz = you will not be able to help asking

It sounds complicated literally, but as a whole it is an idiomatic structure.

Because the idea is not you will not ask.

The real idea is:

• you will not be able to refrain from asking

That is why Turkish uses a negative-looking form. It expresses inability to avoid the action.

An English parallel is:

• I can’t help laughing

That does not mean I don’t laugh. It means I laugh whether I want to or not.

Likewise:

• tarifini sormadan edemeyeceksiniz = you’ll end up asking for the recipe for sure

Usually it is more like when or once, not if.

So this sentence suggests that the speaker expects the action to happen:

• Once you drink this lentil soup, you won’t be able to help asking for the recipe.

If you wanted a clearer if meaning, Turkish would more naturally use something like:

• içerseniz = if you drink

So içince sounds more confident and more like a promise or prediction.

No, but this word order is very natural.

Turkish often places:

• the time clause first
• the main clause after it
• the verb at the end of each clause

So this structure is very typical:

• Siz bu mercimek çorbasını içince
• tarifini sormadan edemeyeceksiniz

The pronoun siz could be omitted:

• Bu mercimek çorbasını içince tarifini sormadan edemeyeceksiniz.

That would still be perfectly correct. Keeping siz just makes the address more explicit.

Yes, very natural.

Turkish commonly says:

• tarif sormak = to ask for the recipe
• tarifini sormak = to ask for its/the recipe

In context, tarifini clearly refers back to the soup. So the sentence naturally means that after trying the soup, you will want to ask how it is made.

It has a persuasive, promotional tone.

It sounds like something you might hear in:

• a cooking video
• a recipe blog
• an advertisement
• someone proudly serving food

The feeling is:

• This soup is so good that you definitely won’t be able to resist asking for the recipe.

So it is not just neutral grammar; it is also a strong compliment to the soup.