A pék ad egy zacskót, és bele teszi a kiflit.

Because they are direct objects, and Hungarian marks direct objects with the accusative ending -t.

• zacskó → zacskót = a bag → a bag as the thing being given
• kifli → kiflit = a roll → the roll as the thing being put somewhere

This is very common in Hungarian. If a noun is the thing that receives the action, it usually gets accusative -t.

This is because Hungarian verbs have two main conjugation patterns:

• indefinite conjugation
• definite conjugation

In the first clause:

• ad egy zacskót = gives a bag
• egy zacskót is indefinite, so the verb is in the indefinite form: ad

In the second clause:

• teszi a kiflit = puts the roll
• a kiflit is definite, so the verb is in the definite form: teszi

So this sentence is a very nice example of the difference:

• ad = used with an indefinite object
• teszi = used with a definite object

Because Hungarian distinguishes between definite and indefinite nouns, much like English.

• a pék = the baker
• a kiflit = the roll
• egy zacskót = a bag

So the sentence treats:

• the baker as a specific baker
• the roll as a specific roll
• the bag as just one bag, not a previously identified one

Also, egy can mean both a/an and one, depending on context. Here it most naturally works as a.

Bele means roughly into it or into that.

It refers back to something already mentioned, here the bag. So:

• bele teszi a kiflit = puts the roll into it

In other words, Hungarian does not need to repeat the bag here, because bele already points back to it.

You can think of it like this:

• be = in, into
• bele = into it

So bele is very useful when the container or destination has already been mentioned.

Yes. That would also be natural, and it means puts the roll into the bag.

Compare:

• bele teszi a kiflit = puts the roll into it
• a zacskóba teszi a kiflit = puts the roll into the bag

The second version names the bag again. The version with bele avoids repeating it.

A learner should know that Hungarian often uses either:

• a full noun with a case ending: a zacskóba
• or a short referring word: bele

Hungarian word order is flexible, but it is not random. It often shows what is neutral, what is emphasized, and what is in focus.

• A pék ad egy zacskót. is a neutral way to say it.
• A pék egy zacskót ad. can sound more focused, like It is a bag that the baker gives.

In many neutral sentences, Hungarian often places:

• the topic first
• then the verb
• then other sentence parts

So A pék ad egy zacskót is a very natural neutral order.

In standard Hungarian spelling, when the prefix is directly attached to the verb, it is usually written as one word:

• beleteszi

So the standard spelling would normally be:

• A pék ad egy zacskót, és beleteszi a kiflit.

Hungarian verb prefixes are often written together with the verb when they stand directly before it:

• betesz
• beletesz
• kitesz
• letesz

They are written separately in some situations, for example with negation or when the prefix moves away from the verb:

• nem teszi bele
• bele is teszi
• teszi bele

So this is a very useful spelling pattern to learn.

Because Hungarian often packs that meaning into another word instead of using a separate pronoun the way English does.

In English, you might think:

• puts the roll into it

In Hungarian, the it is inside bele:

• bele = into it

So Hungarian does not need an extra standalone word for it there.

Teszi comes from the verb tesz = to put, to place, sometimes to do depending on context.

Here:

• teszi = he/she puts it in the definite conjugation

So the ending -i helps show that the verb is being used with a definite object.

That is why:

• tesz egy kiflit = puts a roll
• teszi a kiflit = puts the roll

This definite/indefinite contrast is a major feature of Hungarian grammar.

A rough guide:

• A pék ≈ aw payk
• ad ≈ awd
• egy ≈ roughly edj or edge with a softer sound
• zacskót ≈ zawch-koat
• és ≈ aysh
• beleteszi / bele teszi ≈ beh-leh-teh-see
• a kiflit ≈ aw kif-leet

A few pronunciation points:

• é is a long vowel, like a longer ay
• sz is pronounced like English s
• s is pronounced like English sh
• cs is pronounced like English ch
• gy is a soft consonant somewhat like dy in duke, but smoother

So:

• pék has a long é
• és sounds like aysh
• teszi has sz = s, so it is te-si, not teh-zee