You cannot close the Can't Access Marketplace Screen by pressing ESC with a keyboard or B with a controller. There is no real way to get this screen to appear, but there is a method that can get this screen to appear.

Possible Method:

1. Go to the Marketplace
2. Use the Sort filter in the Search Menu in the Marketplace
3. Close Minecraft
4. Launch Minecraft
5. Click the Marketplace button as soon as the Loading Screen Finishes

This may not work after an update to the Marketplace or Minecraft.

How to reproduce:

1. Once on the Can't Access Marketplace Screen press ESC
2. Observe how it doesn't close after pressing ESC
3. Close the game
4. Connect a controller
5. Load the game
6. Press the Marketplace Button as fast as you can
7. Press B using the controller
8. Observe how it doesn't close after pressing B

Observed Results: It does not close the Can't Access Marketplace Screen

Expected Results: It should close the Can't Access Marketplace Screen

Note: In the Videos below, I'm constantly pressing the ESC and B buttons to try to get the Screen to close.