A debate between Representative Elissa Slotkin, the Democrat running for Michigan’s open Senate seat, and former Representative Mike Rogers, her Republican opponent, turned bitter on Tuesday night as the candidates sought to disqualify each other with attacks over their voting records in the House.

Ms. Slotkin, a third-term lawmaker, hit Mr. Rogers, who retired in 2015 after 14 years in the House, for his stance on abortion, pointing to his dozens of votes in favor of legislation that would have banned the procedure or restricted access to it.

“Do not trust him,” Ms. Slotkin said, calling Mr. Rogers “unilaterally pro-life” and warning voters not to believe his promise that he would not jeopardize Michigan’s constitutionally guaranteed right to an abortion.

Mr. Rogers sought to tie Ms. Slotkin to Biden administration policies he said had been bad for Michigan, including supporting emissions standards that would require two-thirds of new cars sold to be electric vehicles by 2032.

“My opponent has multiple times supported E.V. mandates, trying to pick the cars that our companies have to build and the cars that you’re going to have to buy,” Mr. Rogers said.

The back-and-forth highlighted the increasingly hostile tone of the race between Ms. Slotkin and Mr. Rogers, one of the few Senate races considered a tossup in the upcoming election, in which control of the chamber is up for grabs. Senator Debbie Stabenow, a Democrat who is retiring, has held the seat since 2001, and the party must hold it to have a chance of winning its uphill battle to hang onto the majority. Recent polls have shown Ms. Slotkin with a slight edge in the contest.

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