İnceleme raporu iki istemin uygun olmadığını söylüyor.

The sentence has this overall shape:

• İnceleme raporu = the subject of the main sentence
• iki istemin uygun olmadığını = the thing the report says
• söylüyor = the main verb, says / is saying

So the structure is basically:

[Subject] + [object clause] + [verb]

This is very typical Turkish word order. A rough literal unpacking is:

• İnceleme raporu = review/examination report
• iki istemin uygun olmadığını = that two claims/requests are not suitable/appropriate
• söylüyor = says

So the whole sentence means something like:

The examination report says that the two claims/requests are not appropriate.

Here, -u is not the accusative.

In inceleme raporu, you have a very common Turkish noun compound:

• inceleme = review, examination
• rapor = report
• inceleme raporu = review report / examination report

In this kind of compound, the second noun usually takes a possessive-looking ending:

• rapor → raporu

This does not mean his/her report here. It is just the normal compound pattern.

Compare:

• okul kapısı = school door
• yemek masası = dining table
• inceleme raporu = examination report

So inceleme raporu is a fixed noun phrase, and it is the subject of the sentence.

Because iki istemin is the subject of an embedded/nominalized clause.

In Turkish, when you turn a full clause into something like that ..., the subject of that clause often goes into the genitive form.

So:

• main clause idea: İki istem uygun değil.
  = Two claims/requests are not appropriate.

When that idea becomes the object of söylüyor, Turkish changes it into a nominalized clause:

• iki istemin uygun olmadığını = that the two claims/requests are not appropriate

So the -in on istemin is not just a simple English-style of. It is part of a very common Turkish pattern:

• [genitive subject] + [nominalized predicate]

Examples of the same pattern:

• Ali’nin geldiğini biliyorum.
  = I know that Ali came.
• çocukların uyuduğunu gördüm
  = I saw that the children were sleeping.

Here:

• iki istemin ... olmadığını = that the two claims/requests are not suitable

Because in Turkish, nouns after numbers are usually singular, not plural.

So:

• iki kitap = two books
• üç öğrenci = three students
• iki istem = two claims/requests

That is standard Turkish grammar. You normally do not say:

• iki kitaplar
• üç öğrenciler
• iki istemler

So once the phrase is turned into the genitive inside the embedded clause, you get:

• iki istemin

not

• iki istemlerin

This is one of the biggest differences from English: Turkish usually lets the number word carry the idea of plurality by itself.

It is a packed form, and it helps to break it apart:

• uygun = suitable, appropriate
• ol- = be / become
• -ma- = negation
• -dık = a nominalizing suffix used in subordinate clauses
• -ı = 3rd person possessive marker
• -nı = accusative marker on the whole clause

So:

• uygun ol-ma-dık-ı-nı
• surface form: uygun olmadığını

A practical way to understand it is:

• uygun olmadığını = that it is not suitable / that they are not suitable

In this sentence, the whole clause iki istemin uygun olmadığını is the object of söylüyor.

Also note the sound change:

• -dık + ı often appears as -dığı

So you see olmadığını, not olmadıkını.

This is a very common learner question.

In a simple main sentence, Turkish often says:

• İki istem uygun değil.
  = The two claims/requests are not appropriate.

But when Turkish embeds that idea into a clause like that ..., it very often uses olmadığını:

• iki istemin uygun olmadığını söylüyor

That is the natural, standard way to say:

• says that the two claims/requests are not appropriate

So even if English thinks of this as not + adjective, Turkish very often switches to the ol- structure in nominalized clauses.

In other words:

• main clause: uygun değil
• embedded clause: often uygun olmadığını

That is normal Turkish usage.

Because Turkish often treats number expressions like iki istem as grammatically singular-looking phrases.

After a number, the noun stays singular:

• iki istem

And in this kind of nominalized clause, singular marking is very common with such quantified subjects:

• iki istemin uygun olmadığını

This is the idiomatic form.

If you had an explicitly plural subject in another kind of context, you might see plural agreement more clearly. But with number + singular noun, Turkish very often keeps the structure singular-looking.

So for learners, the safest rule is:

• after numbers, use the singular noun
• in a clause like this, iki istemin ... olduğunu / olmadığını is the normal pattern

Because Turkish -iyor covers a wider range than English is saying.

Depending on context, söylüyor can mean:

• is saying
• says
• states

In formal or written contexts, Turkish often uses -iyor where English uses a simple present:

• Rapor söylüyor... = The report says...
• Belge gösteriyor... = The document shows...

So here söylüyor is completely natural for English says.

The verb is very often at the end in neutral Turkish word order, and that is what you see here:

• İnceleme raporu iki istemin uygun olmadığını söylüyor.

This is the most straightforward order.

Turkish word order is somewhat flexible, but the final verb position is still very common, especially in standard written language. If you move things around, you usually change emphasis or topic.

For example, you could say:

• İki istemin uygun olmadığını inceleme raporu söylüyor.

But that would sound more marked, with different emphasis. The original sentence is the neutral version.

So for learners, the best takeaway is:

• Turkish commonly puts the main verb at the end
• subordinate clauses usually come before that final verb

Because of both grammar and position.

The main finite verb is söylüyor, and the phrase that fits as its subject is:

• İnceleme raporu

The phrase

• iki istemin uygun olmadığını

is a subordinate clause, not the subject of söylüyor. It is the content of what is being said.

A good way to see it is this:

• What says something? → İnceleme raporu
• What does it say? → iki istemin uygun olmadığını

So:

• The examination report = speaker/source of the statement
• that the two claims/requests are not appropriate = reported content

That division is very typical in Turkish sentences with verbs like:

• söylemek = to say
• belirtmek = to state
• düşünmek = to think
• bilmek = to know