ATLANTA — A judge has blocked a new rule that requires Georgia Election Day ballots to be counted by hand after the close of voting. The ruling came a day after the same judge ruled that county election officials must certify election results by the deadline set in law.

The rulings are victories for Democrats, liberal voting rights groups and some legal experts who have raised concerns that Donald Trump’s allies could refuse to certify the results if the former president loses to Democratic Vice President Kamala Harris in next month’s presidential election. They have also argued that new rules enacted by the Trump-endorsed majority on the State Election Board could be used to stop or delay certification and to undermine public confidence in the results.