GARDEN CITY, Ga. — Democrats in Georgia raced on Sunday to make their final voter turnout push in the state’s pivotal Senate runoff elections, targeting Black voters in regions far from Atlanta but equally important to Georgia’s emerging Democratic coalition.

Rallying supporters in the Savannah area, the two Democratic candidates made clear that their task in Tuesday’s races remains daunting in a state where Republican power remains strong, despite President Trump’s narrow loss in the November general election. While Democratic officials have been heartened by strong numbers in the early voting period among traditionally left-leaning voters — particularly Black voters who made up a greater share of the electorate than in the presidential election — they said the party would still be reliant on robust in-person voter turnout.

In several states in November, including Florida and Texas, Democrats recorded big leads through early voting and absentee ballots, only to have them erased on Election Day.

In Georgia, the Democratic Senate candidates, Jon Ossoff and the Rev. Raphael Warnock, are challenging two Republican incumbent senators, David Perdue and Kelly Loeffler. The outcome will determine which party controls the Senate. Georgia Democrats believe that an influx of new voters and a fractured Republican electorate could allow Democrats at the Senate level to match President-elect Joseph R. Biden Jr.’s success.