The magazine claimed to have obtained an embarrassing exchange of texts between Bezos, 54, and one-time Fox presenter Sanchez, 49, who is married to Patrick Whitesell, a Hollywood talent agent.
Before the news broke on Wednesday, a source told PEOPLE Bezos "was in a great mood" at the 2019 Golden Globes on Sunday.
Trump also wished Bezos luck.
Sources close to the Enquirer told The Blast that the publication stands by its reporting.
As Bezos and Mackenzie pursue their divorce, it may turn out to be the most expensive in history.
Shortly after Bezos announced his divorce, the National Enquirer published a months-long investigation into him and his relationship with Sanchez, alleging the two had traveled to "exotic destinations on his $65 million private jet". The pair have been married for 25 years and have four children. Sanchez, a former Extra host, and her estranged husband, Patrick Whitesell, are reportedly mediating the end of their own marriage.
Jeff Bezos is in a secret relationship with a former TV anchor, according to reports.
Whitesell, Sanchez and Bezos were photographed together in 2016 while promoting the Amazon-distributed award-winner Manchester by the Sea, which starred Whitesell's client Michelle Williams. Last night, the Enquirer drew attention over a statement they released saying they followed Bezos for months to document his liaison. "As our family and close friends know, after a long period of loving exploration and trial separation, we have made a decision to divorce and continue our shared lives as friends", the statement shared via Twitter read. "If we had known we would separate after 25 years, we would do it all again".
The two married in 1993 after meeting in NY while working at an investment management firm.
Jeff Bezos, founder and chief executive officer of Amazon.com Inc., and his wife MacKenzie Bezos, arrive for morning sessions at the 28th annual Allen and Co.