Your first link claims Koch Industries is "a little-known, privately owned US oil company". That's the sort of lie you've got to expect from the Guardian. Quoting Wikipedia:
"Koch Industries, Inc. (/ˈkoʊk/) is an American privately held multinational conglomerate corporation based in Wichita, Kansas and is the second-largest privately held company in the United States, after Cargill.[2] Its subsidiaries are involved in the manufacturing, refining, and distribution of petroleum, chemicals, energy, fiber, intermediates and polymers, minerals, fertilizer, pulp and paper, chemical technology equipment, cloud computing, finance, commodity market trading, and investments. Koch owns Flint Hills Resources, Georgia-Pacific, Guardian Industries, Infor, Invista, KBX, Koch Ag & Energy Solutions, Koch Engineered Solutions, Koch Investments Group, Koch Minerals & Trading, and Molex. The firm employs 122,000 people in 60 countries, with about half of its business in the United States"
The Guardian states that the Koch brothers aren't directly funding climate related stuff, but they do fund libertarian and conservative groups. This is, in their eyes, immoral.
Is it terrible for wealthy billionaires to fund people with particular perspectives on what to do about the climate? If you believe so then your biggest criticism must be in the other direction, because the money flows to support pro-doom climate journalism are vast. The Gates Foundation literally directly gives money to news companies that can only be used to hire people to write about climate and vaccines (in his preferred direction). Amongst the recipients of Gates' largesse is, of course, the Guardian.
https://www.cjr.org/criticism/gates-foundation-journalism-fu...
"I recently examined nearly twenty thousand charitable grants the Gates Foundation had made through the end of June and found more than $250 million going toward journalism. Recipients included news operations like the BBC, NBC, Al Jazeera, ProPublica, National Journal, The Guardian, Univision, Medium, the Financial Times, The Atlantic, the Texas Tribune, Gannett, Washington Monthly, Le Monde, and the Center for Investigative Reporting; charitable organizations affiliated with news outlets, like BBC Media Action and the New York Times’ Neediest Cases Fund; media companies such as Participant, whose documentary Waiting for “Superman” supports Gates’s agenda on charter schools; journalistic organizations such as the Pulitzer Center on Crisis Reporting, the National Press Foundation, and the International Center for Journalists; and a variety of other groups creating news content or working on journalism, such as the Leo Burnett Company, an ad agency that Gates commissioned to create a “news site” to promote the success of aid groups."