The 2 voting rights bills that are in congress will not be voted on in the Senate at this time. To get passage of the bills in the Senate required that the filibuster rule be changed. That effort failed by a 52-48 margin with Senators Joe Manchin and Krysten Sinema joining all 50 Republicans in the vote. The interesting part is that Sinema said she would vote for the bills, but not to change the filibuster rules.
The question to ask, why these bills are needed? More people voted in the last election than ever before. There was no proof of any voter suppression. There was no widespread election fraud. Now some states have changed their voting laws since the 2020 election, but most only codified some of the measures put in place for covid. For example the election law passed in Georgia isn't any more restrictive than the laws in Delaware, where the president is from. The bill in congress is nothing more than a federal takeover of elections. It would probably be found unconstitutional, but how long would that take?
I don't think the Democrats really care that they didn't get these bills passed. Their outrage is not real. It seems like the Republicans will most likely win the House of Representatives and maybe the Senate in the midterm elections. That would set the stage to claim the election is illegitimate. Now anyone with any sense would know this is nonsense, but it will energize the liberal base for the Democrats. They will now use this to fundraise and as a campaign issue. It's a losing issue for most voters. The American people are more concerned with gas prices and putting food on the table.
Look for this issue to be dropped until closer to the midterm elections. Then the whining will really start if the Republicans take either or both houses of Congress.