Is jy aan die luister, of moet ek die rys weer roer?

In Afrikaans, a yes/no question is usually formed by putting the finite verb first.

• Jy is aan die luister. = You are listening.
• Is jy aan die luister? = Are you listening?

So is moves to the front, just like English are in Are you listening?

Aan die luister is a way of expressing an action that is in progress, similar to English listening or busy listening.

So:

• Ek luister can mean I listen / I am listening
• Ek is aan die luister emphasizes that the action is happening right now

It is part of the Afrikaans progressive type construction.

Because this is a fixed Afrikaans pattern:

is + aan die + infinitive

Examples:

• Ek is aan die werk. = I am working.
• Sy is aan die lees. = She is reading.
• Hulle is aan die eet. = They are eating.

So aan die luister is not literally at the listening in a natural English sense, but that is roughly how the structure developed. You should learn it as a set pattern.

It is understandable and grammatical, but in everyday speech many speakers might more often say:

• Luister jy? = Are you listening?
• Is jy besig om te luister? = Are you busy listening?/Are you listening?

So aan die luister is fine, but besig om te luister and the simple Luister jy? are also very common, depending on style and emphasis.

Moet usually means must, have to, or sometimes should, depending on context.

So moet ek die rys weer roer? means something like:

• must I stir the rice again?
• do I have to stir the rice again?

In this sentence, it sounds like the speaker is slightly annoyed or checking whether they need to repeat the action because the listener may not be paying attention.

Because after a modal verb like moet, the main verb usually goes to the end in Afrikaans.

Pattern:

moet + subject + object + infinitive

So:

• Ek moet die rys roer. = I must stir the rice.
• Moet ek die rys weer roer? = Must I stir the rice again?

This is similar to Germanic word order patterns and is very normal in Afrikaans.

Weer usually means again.

So:

• die rys weer roer = stir the rice again

Its placement is normal in Afrikaans: short adverbs like weer often come before the final infinitive.

Compare:

• Ek moet weer probeer. = I must try again.
• Sy wil weer kom. = She wants to come again.

Yes. Die rys means the rice, referring to a specific rice dish or the rice currently being cooked.

Even though rice is an uncountable noun in English, English also says the rice when it is specific:

• Stir the rice.
• The rice is burning.

Afrikaans works the same way here. If you just said rys, it would sound more general, not tied as clearly to a particular batch.

Yes, here of means or.

Afrikaans of can also mean whether / if in some contexts, for example:

• Ek weet nie of hy kom nie. = I don't know whether he is coming.

But in your sentence it clearly links two alternatives:

• Are you listening, or must I stir the rice again?

So here it is simply or.

This is an important vocabulary distinction:

• hoor = hear
  passive reception of sound
• luister = listen
  active paying attention

So if someone says Is jy aan die luister?, they are asking whether you are paying attention, not merely whether sound is reaching your ears.

That matches the tone of the sentence very well.

A rough guide:

• jy: sounds somewhat like English yay without the first sound being too strong, or like yei
• rys: roughly like English race, but with the Afrikaans r
• roer: roughly roo-er said smoothly, with two vowel parts

A few notes:

• Afrikaans r is usually trilled or tapped more than an English r
• y in Afrikaans often sounds like the vowel in day or say, depending on word and accent
• oe is usually like oo in food

So roer is not like English roar. It is closer to roo-er.

Yes, very much so.

The structure Are you listening, or must I stir the rice again? suggests the speaker thinks the other person is not paying attention and may need the same point repeated.

So the tone can be:

• impatient
• teasing
• mildly annoyed
• humorous, depending on context

That kind of meaning comes from the whole sentence, not from one single word alone.