Damore was sacked over the memo that Google also said violated its codes of conduct, and returned fire with a class-action lawsuit claiming the company actively discriminates against conservative white men.
Silicon Valley - and Google in particular - has been shaken by fierce debates over diversity issues.
Damore was sacked for "advancing harmful gender stereotypes" in August 2017 after the memo, in which he posited that psychological differences between men and women explain the gaping gender imbalance at Google, was leaked and went viral.
"Human Resources explicitly told Chevalier that Google was ending his employment because of his political statements in opposition to the discrimination, harassment, and white supremacy he saw being expressed on Google's internal messaging systems", the suit said. He alleges that some employees use the company's internal social-networking and messaging systems to belittle and bully women, people of color and LGBTQ colleagues.
Damore was sacked when Google became aware of the comments he made about women.
"The anti-discrimination laws are meant to protect marginalized and underrepresented groups - not those who attack them", adds Chevalier.
"An important part of our culture is lively debate", a Google spokeswoman said in a statement.
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"All employees acknowledge our code of conduct and other workplace policies".
"The overwhelming majority of our employees communicate in a way that is consistent with our policies", Scigliano continued. Otherwise, it will take action regardless of the employee's political views. "We always make our decisions without any regard to the employee's political views". Gizmodo reports that at least three other employees were disciplined by HR for comments that "Google allegedly deemed discriminatory toward white men". Employees also questioned the competency of women and minorities on internal message boards, he said.
"Throughout his life, Chevalier has engaged in political activism, advocating for civil rights for transgender people, women, disabled people and racial and sexual minorities", the lawsuit's introduction shows.
Damore also mentioned Chevalier in his lawsuit, referring to his posts and memes as an example of how Google allowed liberals to speak out without facing any consequences.
Damore, who was sacked over the controversy, and another former Google engineer, David Gudeman, are suing the company, alleging that it discriminates against white men and conservatives.
Chevalier regularly participated in these internal discussions, the lawsuit states, "calling out discrimination and harassment for what it was and asking his peers to reflect on perspectives different from their own".
Chevalier's supervisors were critical of his efforts to change the company's culture, he said in the suit.