Instead, a release from Netflix said the Obamas will produce “scripted series, unscripted series, docu-series, documentaries and features” that highlight issues and themes the president pursued during his eight years in office.

“One of the simple joys of our time in public service was getting to meet so many fascinating people from all walks of life, and to help them share their experiences with a wider audience,” Mr. Obama said in a statement. “That’s why Michelle and I are so excited to partner with Netflix — we hope to cultivate and curate the talented, inspiring, creative voices who are able to promote greater empathy and understanding between peoples, and help them share their stories with the entire world.”

Mr. Obama has remained largely quiet since leaving office about a year-and-a-half ago, despite calls from some of his supporters to be more active in fighting back against Mr. Trump’s assault on the Obama legacy.

The former president and his advisers have rejected that approach, believing that Mr. Obama would become a convenient political target for the current president. As a result, the Netflix deal is unlikely to be a vehicle for any sharp, partisan rhetoric by the former president, officials said.

Word of negotiations between Mr. Obama and Netflix was first reported in The New York Times in March. Netflix did not disclose financial details of the arrangement, though similar deals between streaming services and high-profile celebrities have been worth many tens of millions of dollars over several years.