Following the assumption that part of what makes something a "framework" is that it dictates architecture, the "sample application" or "application layer" is what should be called the "Framework". In which case those people would label these repos differently.
https://github.com/laravel/laravel/ - This is the "framework"
https://github.com/illuminate - This is the "component vendor", where multiple "components" or "packages" can be found.
https://github.com/laravel/framework - This is... something other than "framework". FuelPHP use foundation, or maybe "kernel", or... something.
For other projects this distinction is different.
Aura is not a "framework", but there is a package which IS a framework. So, Aura is a "Component Vendor", which also makes a "framework" as one of its components.
Packages: http://auraphp.com/packages/v2 Framework: https://github.com/auraphp/Aura.Framework_Project