Sabah yine menemen yapacağız, ama bu kez içine kaşar koymayacağız.

Because Turkish verbs usually already show the subject.

• yapacağız = we will make
• koymayacağız = we will not put/add

So biz is not necessary unless you want extra emphasis, like Biz yapacağız = We will do it.

It breaks down like this:

• yap- = do / make
• -acak / -ecek = future tense
• -ız / -iz / -uz / -üz = we

So:

• yap + acak + ız → yapacağız

A small sound change happens in spelling: the k in -acak becomes ğ before the personal ending.

It is built step by step:

• koy- = put
• -ma / -me = negation
• -(y)acak / -(y)ecek = future
• -ız / -iz / -uz / -üz = we

So:

• koy + ma + yacak + ız → koymayacağız

The y is a buffer consonant, and again the k becomes ğ in the final form.

Here sabah means in the morning.

Turkish often uses time words without a preposition:

• sabah = in the morning
• akşam = in the evening
• yarın = tomorrow

Because the verb is future, this could naturally refer to tomorrow morning if that is clear from context, but the word itself is simply morning / in the morning.

They do different jobs:

• yine = again
• bu kez = this time

So the sentence is contrasting two ideas:

• Sabah yine menemen yapacağız = We’ll make menemen again in the morning
• ama bu kez... = but this time...

bu kez is similar to bu sefer.

içine means into it or inside it.

It comes from iç = inside/interior, plus endings:

• içi = its inside
• içine = into its inside → into it

The -e is the dative ending here, giving the idea of movement into/toward.
The n is a buffer consonant that appears in this kind of 3rd-person form.

In this sentence, içine refers back to menemen.

Because the idea of it is already built into içine.

Turkish often does this with words like:

• evine = to his/her/its house
• üstüne = onto it / onto his-her-its top
• içine = into it

So Turkish does not need a separate word like English into it. The reference is understood from context.

Because kaşar here is an indefinite direct object.

In Turkish, a bare object often means some / any / unspecified amount of something:

• kaşar koymak = to add kaşar cheese
• su içmek = to drink water
• kitap okumak = to read a book / books

If you said kaşarı, it would sound more like a specific kaşar cheese already known in the conversation.

So:

• kaşar koymayacağız = we won’t add kaşar cheese
• kaşarı koymayacağız = we won’t add the kaşar cheese

Yes. Kaşar is commonly used by itself in everyday Turkish to mean kaşar cheese.

So in a cooking sentence like this, kaşar naturally means the cheese, not something else.

That is very normal in Turkish.

A basic Turkish pattern is:

• time / other information + object + verb

So:

• Sabah yine menemen yapacağız
• ama bu kez içine kaşar koymayacağız

The verb often comes last. Turkish word order is flexible, but verb-final order is the most neutral and common pattern.

Yes, absolutely.

• içine kaşar koymayacağız = we won’t put kaşar in it
• menemenin içine kaşar koymayacağız = we won’t put kaşar into the menemen

The version in your sentence leaves menemen unstated the second time because it is already understood from the first clause. That makes the sentence sound natural and less repetitive.