How to lubricate my double kickstand? (ursus jumbo)
I think you may have a bigger problem. Look at the blue and red circles:

Is something missing? Looking at the original picture from interneat searches it looks so. What is the material of that part? plastic or aluminium/steel? and why it is red itself?
I have the feeling that it does not move smooth because it is not anymore solidly attached to the frame, but it has some play/slack and therefore not opening/closing smoothly.
Check the frame for scratches&amp;co where the red circle should attach. If I am correct, you will find some, in the long term this stand may ruin your frame (---&gt; do not grease it, toss it away or use for some beater).
I hope I am wrong.