It doesn't. Just headline gore.
Lottery payouts typically have two options: lump sum at half the value of the winnings or a 30 year annuity at the full value. So this headline assumes lump sum reward and cuts the face value on that alone, then does a bunch of other hand waving to get you down the next 58%.
News journals that are owned/advertised by anti-tax republicans love to run out the "lottery was taxed too high" story, specifically targeting people who fancy themselves future lottery winners. It's all bullshit.