I'm in the process of rebuilding my brakes and I've an issue with my front caliper pistons. See picture:

Notice the left piston has a lip at the top however the right is "lip-less". I am absolutely positive I marked which was inboard vs outboard. Then I popped the pistons out of the other caliper they were
opposite the first with respect to the lip...so my question is: lips in or lips out?? Anyone have a diagram?
Additional question: Any recommendations for brake cylinder lube? Brake fluid? vaseline? wheel bearing grease? EVOO?
Thanks many!!