In the cave, you need to make conveyor belts go toward the elevator on the left/right side, in the middle. You then need to make the belts go away from the elevator on the surface (same position, left or right of elevator aligned in the center) and items will be transported to the surface. The elevator needs power.
To get into the cave, you must "enter" the bottom of the elevator by walking to it and enter the top once in the cave to exit to the surface.
There are screenshot of the conveyor belt position on the mod's page. But I never explained how to enter the elevator, I will add it to the mod's description.