When Clinton got elected, we were well down the road of deficit spending. With the help of another Boomer, Newt Gingrich, the budget deficit was under control, but we still had a then-sizeable national debt. Reagan wasn't a Boomer and deficit spending started in earnest under him. A big part of that was government obligations from past legislation, but the Defense budget also grew.
After Clinton, we financed 2 wars with deficit spending, along with more deficit spending due to the 2008/2009 collapse. Instead of letting the market work and letting companies like GM declare bankruptcy (which they did, but with government help) and reorganize and sell assets to more efficient companies, we bailed them out.
Congress has refused to revisit government programs that cause the runaway deficits, but those were passed pre-Boomers.
But if you're going to blame Boomers for the situation, you have to give them credit for developing entirely new industries around the internet, which took off in the last 80s/90s.
Budget deficits today are caused by government entitlement legislation passed before the Boomers. That's not their fault, but Congress has not had the courage, or the motivation, to change things, and that's across generations. Boomers aren't the only ones in Congress these days.