مادرم در آشپزخانه است و دارد غذا درست میکند.

مادرم means my mother.

The word is made of:

• مادر = mother
• -م = my

In Persian, possessive endings are often attached directly to the noun, instead of using a separate word like my in English.

So:

• مادر = mother
• مادرم = my mother
• مادرت = your mother
• مادرش = his/her mother

This is very common in Persian.

Because Persian usually puts the verb at the end of the clause.

So in English you say:

• My mother is in the kitchen

But Persian prefers:

• My mother in the kitchen is

That is normal Persian word order.

Here:

• در = in
• آشپزخانه = kitchen
• است = is

So در آشپزخانه است literally looks like in the kitchen is.

It literally means in kitchen, or more naturally, in the kitchen.

Parts:

• در = in
• آشپزخانه = kitchen

A native English speaker often expects a word for the, but Persian does not have a normal definite article like English the. So آشپزخانه can mean kitchen or the kitchen, depending on context.

They do different jobs.

• است is the ordinary verb is
• دارد literally means has, but here it helps make a progressive meaning, like is doing

So:

• مادرم در آشپزخانه است = My mother is in the kitchen
• دارد غذا درست می‌کند = She is making/preparing food

So the sentence has two separate clauses joined by و = and.

This is a common way to show an action happening right now.

Structure:

• دارد = is currently / is in the process of
• غذا = food
• درست می‌کند = makes / prepares

So دارد غذا درست می‌کند means is making food or is cooking.

A useful pattern is:

دارم / داری / دارد / داریم / دارید / دارند + main verb

For example:

• دارم می‌خوانم = I am reading
• داری می‌روی = you are going
• دارد غذا درست می‌کند = he/she is making food

Yes, you can.

But the meaning changes slightly.

• غذا درست می‌کند can mean she makes food, she cooks, or sometimes she is making food, depending on context.
• دارد غذا درست می‌کند more clearly emphasizes that the action is happening right now.

So دارد makes the progressive meaning more explicit.

In everyday Persian, people very often use this kind of structure when they want to stress right now.

Yes, literally درست کردن can mean something like to make, to fix, or to put in order, depending on context.

But with غذا, it means:

• to prepare food
• to cook

So:

• غذا درست کردن = to make food / prepare food / cook

This is a very natural expression in Persian.

Because را usually marks a specific or definite direct object.

Here, غذا is general, more like food in a broad sense, so را is not necessary.

Compare:

• غذا درست می‌کند = she is making food / cooking
• غذا را درست می‌کند = she is making the food / preparing the food

The second one sounds more specific, as if both speaker and listener know which food or meal is meant.

In standard Persian spelling, می‌کند is preferred.

That standard form uses a half-space between می and the verb part:

• می‌کند

Many people, especially in casual typing, write:

• میکند

Both are understood, but می‌کند is more standard.

The same thing applies to many verbs:

• می‌رود rather than میرود
• می‌خواند rather than میخواند

می is a verbal prefix used in present-tense forms.

In this sentence, it is part of the present form of the verb کردن = to do / to make.

The verb here is built from:

• کن = present stem of کردن
• می = present/imperfective marker
• -د = third person singular ending

So:

• می‌کند = he/she does, makes

In this sentence, because of دارد, the whole expression becomes progressive:

• دارد ... می‌کند = is doing / is making

In everyday speech, many speakers would say something like:

مامانم توی آشپزخونه‌ست و داره غذا درست می‌کنه.

Some common spoken changes are:

• مادرم → مامانم if you want a more everyday, family-style word for my mom
• در → توی for in
• آشپزخانه → آشپزخونه in casual pronunciation
• است → ـه / ـست in speech
• دارد → داره
• می‌کند → می‌کنه

The original sentence is perfectly good standard Persian, especially in writing. The spoken version just sounds more natural in everyday conversation.