Game Engine That Supports Both C# & C++

I would like to find a recommended mobile game engine that supports both C# and C++. Do you know any?

Have you tried checking unity engine? I believe Unity 5.0 and UE both have plugin support for mobile games for C# and C++. That with the combination of an IDE like visual studios community, you can create the mobile game you are looking for on IOS and Android. There are plenty of SDKs out there.