How to correctly mount double-lock grips? I have a pair of PRO double lock-on grips (id est two lock rings per grip). In a recent crash, following an immensely helpful tip from a fellow rider, I clung to one end of the handlebars, turning the other end towards the ground. The handlebar absorbed much of the impact and only a month later I was able to ride my bike again without any pain.

My question is: have I mounted the grips correctly? As is visible, the white plastic part protrudes from the handlebar. And that is exactly where the metal lockring sits. Should the white part be pushed further inboard? It seems to have smaller inside diameter than the rest of the grip and was not sliding in easy - that's why I mounted it as I did.
Short answer, no!

Almost certainly the entire grip should be on the handlebar.

Then the 2 pieces of steel pushed in by the screws will tighten against the handlebar giving much better security.

The steel pieces should go in the cutouts on the hard plastic inner of the grip.

I'm not sure how well the grips will work now that they are missing some of their structure, but it's worth a try.

FYI, the reason that the hard part is more difficult to get on is that the multi part grips can get away with a looser tolerance under the rest of the grip, but not where they are actually attached to the handlebar.