The oOne and the Only

Using "the" twice makes it seem like there are two different things you are talking about.

I had my first cat in my 8when I was eight years old and named her "Maomao".

The pattern is "when I was x years old", instead of using "in".

"Maomao" in Chinese means "furry".

It was a surprised that my parents gave me.

I had no idea what was her typebreed she was, I think pa Persian or something.

We usually speak of a "breed" of cat or dog, at least in the English I speak. You could also say:
- what kind of cat she was
- what type of cat she was

Also there is a mistake in the word order. "What was her type?" is the way we would ask a question. But if "what" is being used as a relative pronoun, it should be "what type she was". If you're interested, here is a link that has some examples: https://writingcenter.unc.edu/tips-and-tools/relative-clauses/

She had a beautiful fury, in between yellow and white.

You could also say "She had a beautiful coat of fur", or just "She had a beautiful coat".

She didn't meowing a lot.

There is a mistake in forming the past tense, it should be "she wasn't meowing a lot" for the continuous or "she didn't meow a lot" for the simple. Here we should use the simple tense. Here's an example of how to form the tense, if you are interested: https://dictionary.cambridge.org/grammar/british-grammar/past-simple-i-worked?q=Past+simple%3A+form . The reason why to use the simple tense here is given under "Single or habitual events or states" on the page I linked.

Most of time she laid oin the chair like a elegant princess.

We lie "in" a chair, but we lie "on" a bed.

But every time you shakedook any jars, she willould raun to you immediately.

- "shake" is an irregular verb, the past simple should be "shook"
- you can use "would" to talk about habitual actions in the past: https://dictionary.cambridge.org/grammar/british-grammar/would

It's not long that I had her company didn't enjoy her company for very long, I cried so hard when she passed away.

The oOne and the Only

Titles usually have non-trivial words capitalized

I had my first cat in mywhen I was 8 years old and named her "Maomao".

"Maomao" in Chinese means furry.

I think you mean furry? Fury means anger haha.

It was a surprised that my parents gave me.

I had no idea what was her type was, I think pit was Persian or something.

She had a beautiful fury in with a color somewhere between yellow and white.

AShe also had a round head with pure big blue eyes.

She didn't meowing a lot.

Most of the time she laid on the chair like an elegant princess.

But every time you shakedook any jars, she will ran to you immediately.

It' was not long that I had her company, and I cried so hard when she passed away.

I missed her so much.

The oOne and the Only

Usually said this way, but I don't think your way is wrong either

I had my first cat in mywhen I was 8 years old and (I) named her "Maomao".

It was a surprised that my parents gave me.

Surprise is the noun. Surprised is the adjective

I had no idea what was her type was, I think persian or something.

Or "I have no idea what type/kind (of cat) she was"

She had a beautiful fury in that was (a color) between yellow and white.

She didn't meowing a lot.

Most of the time she laid on the chair like an elegant princess.

But every time you shaked anyook a jars, she willould raun to you immediately.

It's not long that I had her company,She didn't accompany me for long, and I cried so hard when she passed away.

I think it sounds more natural this way

I missed her so much.

"Missed" is past tense, which would imply that you used to miss her, but you don't miss her anymore