She has two daughters and they look like identical twins.

--> She has two girls who appear to be identical twins.

If you become a model, your height will be taller.

--> If you want to be a model, your height should be taller. 

Mom and baby feel common feelings.

--> Mom and baby have similar emotions. 

I know him very well, but I don't know his music taste.

--> I know him well, but I'm not familiar with his musical tastes.

The literactures in this book are all sensitive.

--> All of the literary works in this book are sensitive.

Whatever you do, she will envy you.

--> Good sentence!~ ^^ 

I always feel tired when I face with vigorous person.

--> Good sentence!~ ^^ 

This project is a secret on the surface.

--> Correct sentence.~ ^^ 

She is the most competent worker in our company.

--> Good and correct sentence. ~ ^^ 

She will assign a new CEO.

--> Correct sentence.~ ^^ 

A predecessor teached nothing to a new employee.

--> Nothing was taught to a new employee by a predecessor.

While he is very energetic, he get to be tired easily.

--> He is quite lively, but he gets tired soon.