Služba za izgubljeni prtljag će identifikovati prtljag na traci za prtljag.

Yes, but prtljag is usually treated as a mass/collective noun, much like luggage or baggage in English. So Serbian normally uses the singular form even when talking about multiple pieces of luggage.

That is why you get:

• izgubljeni prtljag = lost luggage
• ručni prtljag = hand luggage
• višak prtljaga = excess baggage

Because za + accusative is often used to mean for, especially in phrases showing purpose or intended use.

So:

• služba za izgubljeni prtljag = service/office for lost luggage
• traka za prtljag = belt for luggage

This is a very common Serbian pattern:

• aparat za kafu = coffee machine
• soba za sastanke = meeting room
• karta za autobus = bus ticket

Because prtljag is a masculine inanimate noun, and in the singular, the accusative is the same as the nominative.

So:

• nominative: prtljag
• accusative: prtljag

That is why both:

• izgubljeni prtljag
• identifikovati prtljag

keep the same form.

Because it agrees with prtljag.

Prtljag is:

• masculine
• singular
• here in a form that looks like nominative/accusative

So the adjective also appears as izgubljeni.

Compare:

• izgubljeni prtljag = masculine singular
• izgubljena torba = feminine singular
• izgubljeno dete = neuter singular

This is the Serbian future tense built with:

• the clitic form će
• plus the infinitive identifikovati

So će identifikovati means will identify.

In this sentence, će is third-person singular, agreeing with služba.

Because će is a clitic, and Serbian clitics normally go in second position in the clause.

The first element here is the whole subject phrase: Služba za izgubljeni prtljag

So the clitic comes after that: Služba za izgubljeni prtljag će identifikovati...

A useful way to think about it is that clitics often come after the first constituent, not necessarily after the first single word.

Yes. Serbian can also form the future with the verb and future ending written together:

• Služba za izgubljeni prtljag će identifikovati prtljag...
• Služba za izgubljeni prtljag identifikovaće prtljag...

Both are correct. The version with će + infinitive is very common and easy for learners to recognize. The joined form is also standard and common, especially in writing.

Na traci is locative singular of traka.

After na, Serbian uses:

• locative for location: on / at
• accusative for movement toward a place: onto

So:

• na traci = on the belt / on the carousel
• na traku = onto the belt

In this sentence the luggage is already on the belt, so na traci is correct.

Because the two instances do different jobs:

• identifikovati prtljag → here prtljag is the direct object
• traka za prtljag → here prtljag is part of the fixed phrase meaning baggage belt/carousel

So the repetition is completely normal. English can repeat luggage or baggage in the same way if needed.

Serbian has no articles. There is no direct equivalent of English a or the in ordinary noun phrases.

Definiteness is usually understood from:

• context
• word order
• the situation
• sometimes additional words like taj, ovaj, jedan

So služba, prtljag, and traka can be understood as definite here because the airport situation makes them identifiable.

Serbian word order is fairly flexible, but different orders change the emphasis.

The given version is neutral and natural: Služba za izgubljeni prtljag će identifikovati prtljag na traci za prtljag.

You could move things for emphasis, but then the sentence may sound more marked. Also, the clitic će still has to stay in its usual second-position slot.

So yes, word order can move, but not completely freely.

Yes, identifikovati is natural in an administrative or airport context. It means identify, determine which it is, or verify which luggage belongs to someone.

It does not primarily mean find. If the idea were find the luggage, Serbian would more likely use:

• naći
• pronaći

So identifikovati prtljag suggests checking or matching the luggage, not just locating it.