currently I am using this connection string inside the app.config file of the application
add name="LightSailEntities" connectionString="metadata=res://*/LightSailEntities.csdl|res://*/LightSailEntities.ssdl|res://*/LightSailEntities.msl;provider=System.Data.SqlClient;provider connection string='data source=abc.xyz.com;initial catalog=LightSail;user id=LightSail; password=yourpasswordhere;MultipleActiveResultSets=True;App=EntityFramework'" providerName="System.Data.EntityClient"
The domain of .Net application and the domain of client, using .Net application, is different from domain of SQL server. I mentioned "using widows authentication" only because of, I have the access of the server machine(means I can use Remote Desktop Connection) on which the SQL server is installed.