Hello! my question is , knowing much more about using and meaning of these words "produce","production","product" as some nouns. Thank you!

All these terms, as you correctly state, are
nouns.

They are

produce: As a
noun, a "produce" is a foodstuff gathered from a harvest, crops,  or any other form of
food manufacturing. Other synonyms may include "food", or "yield." It is the end result
of a production, a harvest, or a crop.

In a sentence you
can say: 

• The supermarket has a
  produce section that sells fresh
  vegetables.


• Look in the
  produce section for organic
  greens.

production:
A production is a creation, a construction, an invention, or a fabrication. It is
something someone puts together for an end result. It is the end result of a creative
process.

Sentence:

• The
  latest science fiction movie is a productionby Steven
  Spielgberg.


• This production
  is sponsored by the American Medical
  Association.

Your last noun is
product:

A product is also the end result of a production,
or process, but it is semantically associated with items that are manufactured for
specific purposes. A product can also be the end result of a multiplication equation.
However, in terms of items, similar terms to "product" include: an artifact, an item, an
object, a produce (like from before), or an invention, an outcome, a creation, and an
end result.

In a
sentence:

Cheese and ice cream are products of
milk.

The clothing industry manufactures a myriad of new
and innovative products for fashionistas.

I hope this
helps.

Always remember to use the thesaurus for help with
terms that you cannot connect.