Back in the old days before choke tubes, the bottom barrel was always the more open choke, and was fired first. The theory was that the lower barrel, being in a straighter line with the shoulder, caused the gun to kick back, rather than upward, so a second shot was faster to get off. That second one would then be comming from a tighter choke in the upper barrel, usually at a going away bird. For most hunting, this is just fine. With modern choke tubes, you can vary the routine with all kinds of possibilities if you have some special circumstances, but I have never had a reason to.
For grouse, I like skeet 1 in the lower barrel, and improved cylinder or skeet 2 in the upper.