"[T]he Biden White House frequently demands that interviews with administration officials be conducted on grounds known colloquially as 'background with quote approval'..."

"[T]he information from an interview can be used in the story, but in order for the person’s name to be attached to a quote, the reporter must transcribe the quotes they want and then send them to the communications team to approve, veto or edit them.... At its best, quote approval allows sources to speak more candidly about their work. At its worst, it gives public officials a way to obfuscate or screen their own admissions and words. The Biden White House isn’t the first to employ the practice. Many reporters say it’s reminiscent of the tightly controlled Obama White House. The Trump White House used it, too. But reporters say Trump’s team did so less frequently than Biden’s team — which also used the tactic during the campaign — and a number of current White House reporters have become increasingly frustrated by what they see as its abuse.... 

From "Reporters fume at White House 'quote approval' rules" (Politico).  

The article quotes NYT White House correspondent Peter Baker, explaining that the practice originated with reporters: “What started out as an effort by reporters to get more transparency, to get people on the record more, to use fewer blind quotes, then got taken by the White House, each successive White House, as a way of taking control of your story. So instead of transparency, suddenly, the White House realized: ‘Hey, this quote approval thing is a cool thing. We can now control what is in their stories by refusing to allow them use anything without our approval. And it's a pernicious, insidious, awful practice that reporters should resist.”