Onze koffer komt als laatste op de bagageband, waardoor we later buiten staan dan de andere reizigers.

Because koffer is a de-word: de koffer.

With singular de-words, the possessive our is onze:

• onze koffer = our suitcase
• onze auto = our car

With singular het-words, you use ons:

• ons huis = our house
• ons paspoort = our passport

So ons koffer would be incorrect.

Here komt means comes / arrives / appears.

So Onze koffer komt op de bagageband means the suitcase shows up on the baggage belt/carousel.

Dutch often uses komen in situations where English might say:

• appears
• comes out
• arrives

So this is very natural airport Dutch.

Als laatste means last or more literally as the last one.

It is a very common expression for order in a sequence:

• Hij komt als eerste. = He comes first.
• Wij vertrekken als laatste. = We leave last.

In this sentence, Onze koffer komt als laatste op de bagageband means the suitcase is the final one to appear.

Because als laatste is a fixed and very common expression.

Compare:

• als laatste = as the last one / last in order
• laatst can also exist, but it often has different uses, such as recently or in some adverbial contexts

So in a sequence of items, als laatste is the natural choice.

Bagageband is a compound noun:

• bagage = luggage
• band = belt / conveyor belt

So bagageband literally means luggage belt, and in airport English it usually corresponds to baggage carousel or baggage belt.

It is de bagageband because the main part of the compound is band, and band is a de-word.

Waardoor means as a result of which, which causes, or because of that.

It refers back to the whole previous idea:

• the suitcase arrives last
• as a result, we are outside later than the other travelers

So the sentence structure is:

• cause/result in the first clause
• consequence introduced by waardoor

A natural English rendering is often:

• ..., which means that ...
• ..., so ...
• ..., causing ...

Because waardoor introduces a subordinate clause.

In Dutch subordinate clauses, the conjugated verb usually goes toward the end:

• waardoor we later buiten staan

Breakdown:

• waardoor = because of which / as a result of which
• we = subject
• later = later
• buiten = outside
• staan = stand / are

So the verb placement is normal for Dutch subordinate clause word order.

Dutch often uses posture verbs such as:

• staan = stand
• zitten = sit
• liggen = lie

where English often just uses be.

So buiten staan literally means to be standing outside, but in context it can simply mean to be outside or to end up outside.

In natural English, you might translate this less literally as:

• ... so we get outside later than the other travelers
• ... so we are outside later than the other travelers

The Dutch version with staan is idiomatic.

This is the normal Dutch comparative pattern:

• later = later
• dan = than
• de andere reizigers = the other travelers

So:

• later dan Jan = later than Jan
• later dan de andere reizigers = later than the other travelers

Dutch uses dan after a comparative, just like English uses than.

Both are possible in Dutch, but they mean slightly different things.

• de andere reizigers = the other travelers from a specific group
• andere reizigers = other travelers more generally

In this sentence, we are talking about the specific other passengers/travelers involved in the same situation, so de andere reizigers fits well.

Also, andere gets -e because it comes before a plural noun:

• de andere reizigers

Yes. In standard Dutch punctuation, a clause introduced by waardoor after a main clause is normally separated with a comma.

So:

• Onze koffer komt als laatste op de bagageband, waardoor we later buiten staan ...

That comma helps show that the second part is a result clause linked to the first part.