No generation is exempt from an element of its population who pass negative things to its successors. Many of the bills that are becoming unwieldy due to demographic change did not originate in the Great Society nor even in the New Deal, but much earlier when it wasn't that bad a deal to pass a dollar's worth of benefit to a single individual on to two individuals who would have to pay a half a buck apiece to remunerate it. Now it's a buck to repay a half a buck's benefits - there are no longer a growing number of repayers. Clearly those longstanding policies are overdue for review. But they are not unique to any generation.
It should be remembered that much that is positive, including the tools to address that problem, is, in part, a product of the generations who are blamed for causing it: the Internet, for example, and advances in medical science that make retirement a more distant option for many even as it allows them to live longer to enjoy it. It is these factors that will determine how the system is to be fixed. Blame is irrelevant and counterproductive. All IMHO and subject to debate, of course.