This blog contains final solutions for the most common problems that appearing at a workday; While there are a lot of non tested solutions that wasted a lot of time or make you dispersion, here is the final tested solution.
The error message while trying to create a ADO.net Entity Data Model ( Entity Framework 6 ) for MySql Database in Microsoft Visual Studio 2013
"Your project references the latest version of Entity Framework; however, an Entity Framework database provider compatible with this version could not be found for your data connection. if you have already installed a have already installed a comptible provider, ensure you have rebuilt your project before performing this action. Otherwise, exit this wizard, install a compatible provider, and rebuid your project before performing this action."