gyouza to yakisoba ha, kazoku minna ga suki nanode, syukuzitu ni yoku tukurimasu.

は marks the topic of the sentence: what the sentence is about.

So 餃子と焼きそばは means as for gyoza and yakisoba.

The speaker is setting up those foods as the topic, and then saying something about them:
家族みんなが好きなので、祝日に よく 作ります
= since everyone in the family likes them, we/I often make them on holidays

Using は here also helps explain why there is no を later with 作ります.

Here, 家族みんな is the group that does the liking, so が marks it as the subject of 好き.

• 家族みんなが好き = everyone in the family likes it/them

A useful way to think about it is:

• 餃子と焼きそばは = topic, as for gyoza and yakisoba
• 家族みんなが好き = everyone in the family likes them

So は and が are doing different jobs here.

家族みんな means the whole family or everyone in the family.

• 家族 = family
• みんな = everyone / all

Together, it means that all the family members like those foods.

You can think of it as a natural spoken way to say:

• 家族のみんな = everyone in the family

Both are understandable, but 家族みんな sounds very natural and common.

Because 餃子と焼きそば has already been made the topic with は.

If you said it without topicalizing, you could say:

• 祝日に餃子と焼きそばをよく作ります。
  = I/we often make gyoza and yakisoba on holidays.

But in the actual sentence, the foods are introduced first as the topic:

• 餃子と焼きそばは、... よく作ります。

So は is taking the place where you might otherwise expect を.

This is very common in Japanese.

Here, と means and.

So:

• 餃子と焼きそば = gyoza and yakisoba

This と is used to give a complete list of the items being mentioned.

If the speaker wanted a looser list, like gyoza, yakisoba, and things like that, Japanese might use や instead.

好きなので means because [someone] likes it/them or since [someone] likes it/them.

Breakdown:

• 好き = liked / well-liked / to like
• ので = because / since

So:

• 家族みんなが好きなので
  = since everyone in the family likes them

A key point: 好き is not a verb like English like.
In Japanese, it behaves more like an adjective expression.

That is why Japanese says something closer to:

• Gyoza and yakisoba are liked by everyone in the family

rather than using a direct verb exactly like English like.

Both ので and から can mean because, but ので usually sounds a bit:

• softer
• more explanatory
• slightly more neutral/polite

So in this sentence:

• 家族みんなが好きなので、祝日に よく 作ります。

the speaker sounds like they are calmly explaining the reason.

If you used から, it would still be grammatical:

• 家族みんなが好きだから、祝日に よく 作ります。

That version can sound a little more direct or conversational.

Because before ので, Japanese often uses the plain form in subordinate clauses, even when the main sentence is polite.

So this combination is very normal:

• 好きなので、作ります。

The main sentence is still polite because of 作ります.

You may sometimes hear ですので, but it is more formal or stiff, and it is not the most natural choice for an everyday sentence like this.

So:

• 好きなので、作ります。 = natural
• 好きですので、作ります。 = possible, but more formal/stiff

The subject is omitted, which is very normal in Japanese.

From context, 作ります most likely means:

• I make them
• we make them
• someone in our household makes them

Japanese often leaves out the subject when it is obvious from context.

So the sentence does not need to say I or we explicitly.

No. Here, よく means often, not well.

So:

• よく作ります = often make

This is an important beginner point, because よく can have different meanings depending on context.

For example:

• 日本語をよく話します can mean speaks Japanese well
• よく行きます means often go

In this sentence, with 作ります, the natural meaning is often make.

に marks the time when something happens.

So:

• 祝日に = on holidays

This is the time expression for when the speaker often makes those foods.

Japanese often uses に with specific points or occasions in time, such as:

• 日曜日に = on Sunday
• 誕生日に = on my birthday
• 祝日に = on holidays

作ります is the polite non-past form.

In Japanese, the non-past form can mean:

• present
• future
• habitual action

Here it means a habitual action:

• (I/we) often make them on holidays

So it is not talking about just one future time. It describes something that usually happens.