Meine Tochter mag Rosinen im Kuchen.

Because Tochter is a feminine noun in German: die Tochter.

The possessive word mein changes its ending to match the noun’s gender, number, and case. In the nominative singular feminine, it becomes meine.

So:

• mein Sohn = my son
• meine Tochter = my daughter

In this sentence, meine Tochter is the subject, so nominative is used.

In German, all nouns are capitalized.

So in this sentence:

• Tochter = noun
• Rosinen = noun
• Kuchen = noun

That is why they all begin with a capital letter. This is a standard rule in German spelling, not something special about this sentence.

Because the verb has to agree with the subject.

The subject here is meine Tochter, which is third person singular: she.

The verb mögen is conjugated like this in the present tense:

• ich mag
• du magst
• er/sie/es mag
• wir mögen
• ihr mögt
• sie/Sie mögen

So meine Tochter mag means my daughter likes.

German often leaves out the article when talking about things in general, especially with foods, materials, or plural nouns.

So:

• Meine Tochter mag Rosinen. = My daughter likes raisins.
• Ich esse gern Äpfel. = I like eating apples.

This sounds natural when you mean raisins in general, not some specific raisins.

If you said die Rosinen, that would usually mean the raisins in a more specific sense.

Here, Rosinen is plural.

The singular is:

• die Rosine = the raisin

The plural is:

• die Rosinen = the raisins

Even though die can be both feminine singular and plural, in this sentence there is no article, so you recognize the plural form from the noun ending -en and the meaning.

im is a contraction of:

• in dem → im

So im Kuchen literally means in the cake.

This kind of contraction is very common in German. Other examples are:

• am = an dem
• zum = zu dem
• beim = bei dem

In this sentence, im Kuchen means in cake / in the cake, depending on how naturally it is translated in English.

Because here in describes a location, not movement.

German often distinguishes between:

• where? → dative
• where to? → accusative

So:

• im Kuchen = in the cake / inside the cake → location
• in den Kuchen = into the cake → movement toward the inside

In this sentence, the raisins are understood as being inside the cake, not moving into it, so the dative is used: im Kuchen.

That is a normal German word order.

The basic structure here is:

• Meine Tochter = subject
• mag = verb
• Rosinen = object
• im Kuchen = prepositional phrase

German main clauses usually put the conjugated verb in second position. After that, other elements often come later, and a phrase like im Kuchen commonly appears near the end.

So:

• Meine Tochter mag Rosinen im Kuchen.

is completely natural.

Yes, that is the natural meaning.

The phrase im Kuchen limits or specifies Rosinen. It tells you the context in which she likes them: in cake.

So the sentence suggests:

• She likes raisins when they are in cake
• It does not necessarily mean she likes raisins in every situation

That is an important nuance of the sentence.

Yes, but the structure would be different.

With mögen:

• Meine Tochter mag Rosinen im Kuchen.

With gern, you usually use another verb:

• Meine Tochter isst Rosinen im Kuchen gern.
• more naturally: Meine Tochter isst gern Rosinen im Kuchen.

The difference is:

• mögen = to like
• gern = gladly / likes doing something

So mögen is a very straightforward way to say that she likes raisins in cake.

• meine Tochter is in the nominative case because it is the subject
• Rosinen is in the accusative case because it is the direct object

The verb mögen takes an accusative object.

So the structure is:

• Meine Tochter = who is doing the liking
• mag = likes
• Rosinen = what she likes

In this sentence, the plural form Rosinen looks the same in nominative and accusative, so the case is understood from the sentence structure.