What does the Two Headed Eagle of Freemasons symbolizes?

There is no symbol called the "Two Headed Eagle" associated with Freemasons. The symbol you might be referring to is likely the double-headed eagle, which features prominently in the coat of arms of Russia and was previously utilized by several European empires and nations throughout history.

The double-headed eagle is not directly tied to or symbolic of Freemasonry. Freemasonry has its own set of emblems and symbols that carry specific meanings within the fraternity. It does not adopt symbols from political entities or other organizations unless there is a specific historical or contextual purpose related to Freemasonry itself.