Do C4D procedural maps work with Corona Renderer?
Yes, Corona does support them. Also, Corona keeps them as procedural maps and does not have to bake them to textures before using them, unlike some other render engines. Below are just a few examples.
It also does support MoGraph.

Cinema 4D Procedural Bricks

Cinema 4D Checkerboard Shader

Cinema 4D Procedural Pavement

Cinema 4D Procedural Tiles

Cinema 4D Procedural Marble

Cinema 4D Procedural Wood