The Attractiong of mModern cCooking

I am not sure if this is what you meant by your original title. My suggestion here references being interested in modern cooking.

Baking the mModern cook ing (attractings/interests) all of us.

This follows the logic of my previous line. Either word in the parentheses works

We all want to cook new dishes, and also we also want to make them better than other's dishes'.

Plural "others" refers to other people; making this possessive becomes " others' "

Due to that (desire), we should pay attention to submissthe (creations of / tips from) famous chefs.

This would sound more natural if you remove "desire"

"Submissions" is a little vague. If you mean reference the dishes from the chefs, the first option works. If you mean listen to the advice from the chefs, the second option works.

Because some of them can gives us useful advices about cooking certain dishes, which can make their tastem better.

"Advice" will never take an S

Making a dish better already implies that it tastes better, and this is what one would typically say. You can use "taste" when you want to be specific. For example, "her cake looked beautiful, but it tasted horrible!"

We also should makealso practice for many timesa lot, until we decidedmanage to make it nearly perfectly. .I know these things easy toare easier sayid than done .But still,, but if we work hard and practice a lot, we can successdo it.

Success = noun
To succeed = verb

However, "we can do it" is a lot more natural here instead of "we can succeed at doing it"