I just got back from the range and had to clean my Mosin. At the range, I use the cleaning rod and use a few patchs doused with Windex that I added mucho ammonia. Then I run some dry patches through it and then a couple of patches doused with CLP. When I get home I do a good cleaning with Hoppes then CLP. I end up using a boresnake to complete the cleaning. This works well if done while sipping a beer or two. Or three. End result, no salts in the barrel, no boogies in the barrel.
EDIT: It looks like you are using corrosive ammo. It will leave salts stuff in the barrel if you dont rid the barrel of corrosives by using either water, or Windex, which is my choice. I do it at the range so if in case I cant clean it that day I might not get those barrel boogies that you show in your pic. The ammonia is for cleaning copper fouling, the windex/water is to neutralize the salts that you get with old mil surplus ammo. Or something like that.