In her forthcoming memoir, "Becoming", Obama points to the president's participation in the "birther" movement, which promoted the theory that former President Barack Obama was not actually a USA -born citizen. "I'll give you a little controversy back, I'll never forgive (President Barack Obama) for what he did to our U.S. military".
Mrs Obama also accuses Mr Trump of using body language to "stalk" Mrs Clinton during a presidential election debate.
"I felt like I failed because I didn't know how common miscarriages were because we don't talk about them", Obama said.
"Well, I'll give you a little controversy back: I'll never forgive him for what he did to our United States military by not funding it properly".
"I realized that as I was 34 and 35, we had to do IVF", she said in excerpts from an ABC special set to air Sunday.
In the book, which will be released on November 13, Obama reveals that she assumed Trump was "grandstanding" when he announced his presidential run in 2015.
The former first lady, known for her advocacy for women and girls around the world, chose to get candid about her miscarriage and her journey to motherhood in Becoming to help other women.
"The whole [birther] thing was insane and mean-spirited, of course, its underlying bigotry and xenophobia hardly concealed", she writes, in excerpts of the book published by ABC News and The Washington Post.
Obama also describes her private struggles and triumphs in the book, including her romance with her husband, their difficulties having children - including a miscarriage and that their daughters were conceived through in vitro fertilization - and her work to make the Office of the First Lady her own, the Post reports.
'And they always insist that you come up with (something) controversial. "Period. Now we all want to get back to making America strong and great again".
Obama also reiterates that politics isn't for her, alluding to her previous dismissal of a potential 2020 presidential run.
She expresses disbelief over how so many American women would choose a "misogynist" over Democratic hopeful Hillary Clinton, "an exceptionally qualified female candidate".
She writes that her body "buzzed with fury" after seeing the infamous Access Hollywood tape, in which Trump brags about sexually assaulting women. Around the same time, Obama says it hit her that "the biological clock is real" and "egg production is limited".