Noncitizens: Outlawed from Voting in Our Trusted Elections Act of 2022 or the NO VOTE for Noncitizens Act of 2022 This bill establishes additional requirements related to noncitizens and voting and addresses related issues. Among other provisions, this bill (1) requires states to make reasonable efforts to remove noncitizens from the official eligible voter lists, (2) requires states to coordinate official registered voter lists with court records of individuals who have been recused from jury duty on the grounds that they are noncitizens, and (3) reduces election assistance to states and local jurisdictions that allow noncitizens to vote.