Compound interest is a wonderful thing. Giving a lump sum to everyone would cost the country a fortune. But what successive governments have been trying to "push" is people investing in pension schemes, from as young an age as possible, hence compulsory workplace pension schemes.
There are lots of illustrative figures around the internet, but some examples starkly show the difference between starting to invest modest sums when you're 21 against starting to invest the same when you're 31 or 41 - the growth in the fund and difference in ultimate projected pensions are mind boggling huge, just because of compound interest or investment growth. Even on modest regular savings, the outcomes are tens if not hundreds of thousand different over 40+ years - double, treble, quadrupled pensions very easily even with modest interest/growth projections.
Save £50 per month when you're 50 is barely worth the effort, but save £50 per month from when you're 21, and increase annually in line with your pay rises (and even more when affordable), and you could literally be rolling in it at retirement, with an annual pension more than your final years' annual wages, from a regular investment that even minimum wage workers would barely notice (the cost of a couple of takeaways per month!).