Creating a face on 2 circles of edge while letting the inside of the small circle without face

Question

Hello, I managed to clean all the vertices of the primitives that I join together, removing the faces that where overlapping and keeping a simple shape. Now is my problem : I need to create the front and back faces. But when I select all the vertices, and make 'F' to create a face, the 2 holes inside the shape are covered. How do I need to proceed to make the face without covering those holes, letting them empty? (the holes are the small circle in the middle and the moon croissant under it)

Answer 1

The only method I found is to remove the central cylinder, make the faces, create a cylinder and add a boulean to remove the center in the end. It is dirty :/