Annem, “Sucuğu fazla kızartma,” dedi; kaşar eriyince hemen servis edeceğiz.

Because anne means mother, and the ending -m is the 1st person singular possessive suffix, meaning my.

So:

• anne = mother
• annem = my mother

This is very common in Turkish: family words often appear with possessive endings when talking about your own relatives.

Because sucuğu is the accusative form of sucuk.

In Turkish, a specific/definite direct object often takes the accusative ending -(y)ı / -(y)i / -(y)u / -(y)ü. Here the speaker means a particular sausage being cooked, not sausage in general.

So:

• sucuk = sausage / sucuk
• sucuğu = the sausage, as a specific object

Also, when the vowel-initial suffix is added, the final k softens to ğ:

• sucuk + u → sucuğu

That consonant change is very common in Turkish.

Here kızartma is a negative imperative addressed to you singular.

It comes from:

• kızartmak = to fry
• verb stem: kızart-
• negative imperative ending: -ma / -me

So:

• kızartma = don’t fry

This is the normal informal singular command form in Turkish.

Compare:

• Kızart. = Fry it.
• Kızartma. = Don’t fry it.
• Kızartmayın. = Don’t fry it. / Don’t fry them. (polite or plural)

Here it is a verb form, not a noun.

Turkish also has a noun kızartma, which can mean something like fried food or frying, so learners often notice the ambiguity. But in this sentence, the context makes it clearly a command:

• Sucuğu fazla kızartma = Don’t fry the sausage too much

Because it appears with an object and inside direct speech, it is understood as the negative imperative of kızartmak.

Fazla here means too much, too long, or excessively.

So fazla kızartma means:

• don’t fry it too much
• don’t over-fry it
• don’t brown it too much

It functions like an adverb modifying the verb.

Because Turkish very often places the reporting verb after the quoted words.

So this pattern is very natural:

• Annem, … dedi. = My mother said, …

Turkish can report speech in several ways, but this one is extremely common. English often puts said before the quote, but Turkish frequently places it after the quote.

As written, no.

The quotation marks only cover Sucuğu fazla kızartma, so that is the only part your mother directly said.

The rest:

• kaşar eriyince hemen servis edeceğiz

is outside the quotation marks, so it is the narrator’s or speaker’s continuation.

If both parts were meant to be your mother’s exact words, the quotation marks would normally include both clauses.

Eriyince means when it melts or once it melts.

It comes from the verb erimek = to melt. In actual conjugation, the stem appears as eri-, and then Turkish adds the converb ending -ince. Because the stem ends in a vowel, a buffer y appears:

• eri- + yince → eriyince

The ending -ince / -ınca / -ünce / -unca often means:

• when
• once
• as soon as

So:

• kaşar eriyince = when the kaşar melts / once the cheese melts

Because kaşar is the subject of eriyince, not a direct object.

In:

• kaşar eriyince

the meaning is when the kaşar melts. The cheese is the thing doing the melting, so it is the subject of that clause. Subjects do not take the accusative ending.

That is why it stays as kaşar, not kaşarı.

Servis edeceğiz means we will serve.

This is built from the common Turkish expression:

• servis etmek = to serve

So:

• servis = service / serving
• etmek = to do, to make

Together, servis etmek functions like a single verb meaning to serve.

Then edeceğiz is the future tense, 1st person plural:

• edeceğiz = we will do

So:

• servis edeceğiz = we will serve

A useful breakdown is:

• et- = do
• -ecek = future
• -iz = we

The form becomes edeceğiz, not eteceğiz, because t often changes to d before vowel-initial suffixes in forms like this.

Because Turkish normally puts the finite verb near or at the end of the clause.

So the Turkish order is very natural:

• kaşar eriyince = when the kaşar melts
• hemen = immediately
• servis edeceğiz = we will serve

Literally, the structure is close to:

• when the cheese melts, immediately we will serve

That end-position for the verb is one of the most important word-order patterns in Turkish.

In modern Turkish, ğ usually is not pronounced like a hard English g.

In a word like sucuğu, it usually:

• lengthens the preceding vowel, or
• creates a very soft transition between vowels

So sucuğu is not pronounced with a strong g sound. Depending on accent and speaking speed, it may sound roughly like sujuu or suju-u.

This is normal for ğ in Turkish and often surprises English speakers at first.