You cannot bribe me directly - that would be caught. However you can donate money to my family foundation and my kids (or spouse) will draw a large salary from it while doing almost nothing and they do some good for the world so it looks like a charity. Of course the kids/spouse will support me in various ways that all rich kids will.
Again, probably not what is happening here, but every time you hear of a family foundation you should ask who they are using it to corruption in some form. Even when it doesn't seem to be you should still look.