More documents are needed to incorporate a Branch than incorporation ofan LLC.

Unsure what you mean by "Branch" versus "LLC" here. In my country, an LLC is a type of company, and a branch would be a company related to a bigger company. So, a branch could also be an LLC. However, I do not know the laws of your country, so "Branch" may mean something a little different.

Both Branches and LLCs are subject to same rules in every aspect, such as taxation, dividends etc.

For example, a Turkey resident manager is needof Turkey is required for the Company's Manager forof a Branch, but for an LLC, managerit is not mandatory tohat the manager reside in Turkey.

"Needed" is OK, but I think "required" is more precise here, as it is something mandated by law.

More documents are needed to incorporate a Branch than to incorporation ofe an LLC.

Documents" is plural, so you need to use the plural form.
The phrase "incorporation of LLC" isn't incorrect, but "to incorporate an LLC" sounds more natural and grammatically correct in this comparison. Also, "an LLC" needs the article "an" before it.

Both the Branch and LLC are subject to the same rules in every aspect such as taxation, dividends, etc.

The definite article "the" should be used before both "Branch" and "LLC" to specify them.
"The" is needed before "same rules" because you're referring to specific rules.
A comma is needed before "etc." to separate it from the list.

For example, a Turkeyish resident manager is needed for Company's Manager for Branchthe Branch Manager, but for an LLC, a manager is not mandatoryrequired to reside in Turkey.

It’s clearer to say "the Branch Manager."
"An LLC" should have the article "an" before it.
The phrase "manager is not mandatory to reside" is grammatically incorrect. The more accurate phrasing is "a manager is not required to reside."