Lauten told NBC News via phone Monday that her departure is already "in the works," NBC reports.
Lauten apologized earlier on Facebook for "judging" the girls at the annual White House turkey pardoning event.
"I quickly judged the two young ladies in a way that I would never have wanted to be judged myself as a teenager," she said.
The communications director for U.S. Rep. Steve Fincher, R-Tenn., went on to say that "after many hours of prayer, talking to my parents, and re-reading my words online I can see more clearly just how hurtful my words were."
The comments that created a media firestorm asked for the Obama girls to "show more class" during the annual event.
"Dear Sasha and Malia: I get you're both in those awful teen years, but you're a part of the First Family, try showing a little class. At least respect the part you play," Lauten wrote in a Facebook post.
She added, "Rise to the occasion. Act like being in the White House matters to you. Dress like you deserve respect, not a spot at a bar," NBC News reports. She later took that Facebook post down.
Diana Reese, contributor to the Washington Post, took aim at Lauten, for her use of language, saying that she should not pick on Obama's kids.
"If Lauten were a mom, particularly of teen girls, she'd have a lot more empathy, I suspect, and she'd probably agree with me that kids in the White House should be off-limits to media scrutiny," Reese wrote.
She also drew a parallel to the comments that radio talk show host Rush Limbaugh made about Chelsea Clinton during the Clinton White House years. Limbaugh called Clinton a dog.
Alex Moe ✔ @AlexNBCNews Follow
GOP Staffer Elizabeth Lauten tells NBC News she is "resigning today" following her comments about Sasha and Malia Obama