Move components inside a robot's tool

I have different components grasped with a unique robot tool. I was trying to assembly those components together (visually), and then releasing them together. The problem is that I don’t achieve to move the components when the tool’s links move.

I put new robot tool containers inside the tool links, which already move, but the component they grasped stays in the same position.
I suspect that the solution could be the introduction of new Grasp Containers inside the tool’s links, but I don’t know how those would be connected to the robot to use them when grasping with certain tools.

I would appreciate any help, thank you

robot tool