Edit January 19: FLI has made a substantive statement about this issue:
https://futureoflife.org/rejection_statement/
This seems concerning. It is claimed that the Future of Life Institute, run by MIT professor Max Tegmark, offered but did not pay out a grant to a Swedish far-right foundation. The character of this foundation and its associates is well-known in Sweden. Expo is an old and respected watchdog organization specialized on neo-nazism and related movements.
https://expo.se/2023/01/elon-musk-funded-nonprofit-run-mit-professor-offered-finance-swedish-pro-nazi-group
Just perusing the front page of Nya Dagbladet, it looks like their business's main bank account has been cut off (perhaps similar to how Visa or Paypal will routinely freeze the accounts of grey-area or politically unpalatable businesses here in the US), and now they are scrambling to try and get funds where they can:

It's possible that this is the context in which Tegmark made the (very poor) decision to attempt to rush a 100K grant to a "foundation" set up in equal haste by Nya Dagbladet. Which would come off less as "funding a neo-nazi foundation to pursue shadowy neo-nazi projects" and more as nepotistic misuse of FLI's funds to keep the newspaper Nya Dagbladet afloat, perhaps as a way of helping out Tegmark's brother?
I would also note that, as Erich_Grunewald describes in his comments, the paper clearly does come across as populist / right-wing, but seems only a bit more sensationalized and extreme than something like the Washington Examiner or NY Post, and less so than things like Breitbart, the Drudge Report, Infowars, etc. It definitely does not come across as the homepage of a neo-Nazi organization:

Still seems like an extremely dubious use of FLI's funds to make a sketchy grant to a random populist newspaper with bad moral values and bad epistemics! But "pro-nazi" seems like it might be an exaggeration on the part of Expo.