Bu uygulamanın deneme sürümü ücretsiz, ama bazı bölümler kilitli.

A natural way to parse it is:

• bu = this
• uygulamanın = of the app / app’s
• deneme sürümü = trial version

So the whole phrase means this app’s trial version.

What can be confusing is that deneme sürümü is already a mini compound by itself, and then uygulamanın is added on top of that. So Turkish is basically saying:

• [this app]’s [trial version]

That is why the phrase looks more layered than the English version.

Because Turkish uses a genitive ending to mean of the app or the app’s.

• base word: uygulama = app / application
• genitive form: uygulamanın = of the app

The suffix here is -(n)ın / -(n)in / -(n)un / -(n)ün, depending on vowel harmony. Because uygulama ends in a vowel, Turkish inserts a buffer n:

• uygulama + nın → uygulamanın

So uygulamanın means of this app.

Here sürümü is not an object ending; it is part of a noun compound.

• sürüm = version
• deneme sürümü = trial version

In Turkish, when one noun modifies another noun, the second noun often takes a 3rd-person possessive suffix:

• deneme = trial
• sürüm = version
• deneme sürümü = trial version

So the -ü on sürümü is the compound/possessive ending. It is very common in phrases like:

• telefon numarası = phone number
• şehir merkezi = city center
• deneme sürümü = trial version

Because this is the normal pattern for an indefinite noun compound in Turkish:

• first noun: no ending
• second noun: possessive ending

So:

• deneme sürümü = trial version

not something like denemenin sürümü.

If you said denemenin sürümü, that would sound more like the version of the trial, which is a different structure and usually not what is meant here.

In Turkish, the verb to be is often not stated in the present tense.

So:

• Bu uygulamanın deneme sürümü ücretsiz. literally looks like
• This app’s trial version free.

But it means:

• This app’s trial version is free.

The same thing happens in the second half:

• bazı bölümler kilitli = some sections are locked

This is completely normal Turkish.

Because Turkish usually puts the main predicate at the end of the clause.

So:

• Bu uygulamanın deneme sürümü ücretsiz
• bazı bölümler kilitli

Both clauses end with the key descriptive word:

• ücretsiz = free
• kilitli = locked

That final position is very natural in Turkish.

Ücretsiz means free of charge.

It can be broken down historically as:

• ücret = fee, charge
• -siz = without

So ücretsiz literally has the idea of without a fee.

That is why it is used for things that cost nothing, such as:

• ücretsiz uygulama = free app
• ücretsiz deneme = free trial

Ama means but.

It introduces a contrast:

• the trial version is free
• but some sections are locked

Yes, you could also use fakat, which also means but. In many everyday situations:

• ama sounds a bit more conversational
• fakat can sound a bit more formal or written

So this sentence with ama sounds very natural and everyday.

Because the sentence is talking about multiple sections, so the plural bölümler is natural.

• bazı = some
• bölüm = section / part
• bölümler = sections

So:

• bazı bölümler = some sections

You may sometimes see different number patterns after quantifiers in Turkish, but here the plural is the normal, natural choice because the meaning is clearly more than one section.

Kilitli means locked.

It comes from:

• kilit = lock
• -li = with / having

So literally it has the sense of with a lock or in a locked state.

In this sentence, bazı bölümler kilitli means that some parts of the app are not accessible unless something is unlocked, paid for, or activated.

Because kilitli describes a state, not an action.

• kilitli = locked
• kilitlendi = got locked / became locked
• kilitlenmiş = has become locked / apparently locked

Here the sentence is simply describing the current condition of the sections: they are locked. So kilitli is the most natural choice.

No. Turkish does not have articles that work like English a/an and the.

Instead, Turkish uses things like:

• context
• word order
• case endings
• words such as bu = this

Here bu already makes the phrase specific:

• Bu uygulamanın deneme sürümü = the trial version of this app

So even without an actual word for the, the meaning is clear.

Yes, Turkish word order is somewhat flexible, but the given version is the most neutral and natural.

For example, you could say:

• Bazı bölümler kilitli, ama bu uygulamanın deneme sürümü ücretsiz.

This changes the emphasis, because now the sentence starts with the negative/limiting information.

The original version is more straightforward for a general statement:

• first, the good news: the trial version is free
• then, the limitation: but some sections are locked