I believe the white grease is a lithium type grease, I am not sure about the green stuff.
I would go to an automotive parts store and look for the Lithium Grease in a Tube.
I have found this works best as you can control the amount and put it just where you want it.
Also, keep in mind that no substance can leak from the robot at any time, especially onto the playing surface. This is a definet NO-NO.
I hope this has been of some help to you.
