Hi Joe,
On our main Ecuador Insider page there is a section called Moving to Ecuador. In there is a whole section on how to bring your pets into the country.
However, if you’re only staying for two months it will probably be easier to find someone to watch your dog back home while you’re away. If you bring him, not only will you need to meet all of Ecuador’s requirements for bringing a dog into the country, but you’ll also need to meet the U.S. requirements for bringing one back. It can be done, but will take some time and effort on your part.