Try a Carrot-and-Stick Approach With Your Nonprofit Board
Then the stick: What's the stick approach? Here's a phrase to use: "This money is not going to just walk in the door."
I like that phrase because it's not pleading for more resources. It can't be perceived as whining or begging or "we just can't do it all" — which never really works with higher-ups, in my opinion.
Try using this businesslike wording to get their attention, and you will eventually educate your decision makers on how fundraising really works today. You'll be happier, and your organization will enjoy higher fundraising totals. This is a win-win strategy!