The achievements [Got My Mind On My Money] require you to loot 1,000/5,000/10,000 etc money. This money is supposed to come from mobs that you loot.
Looting from bags also counts for this achievement. However this can be seen as common sense (which, tbh, it actually is), you can use this to speed it up greatly.
The best examples of this are the argent tournament champion dailies where you can choose for 10g bags (x4), but also the Fishing Daily bags, the Satchel of Spoils from OS and the bags from rares.
I have been able to get the 25,000 gold achievement in a very fast time by just hunting for rares, and doing the right dailies everyday.
Hope this helped