I don't know exactly what to call it, but since Republicans insist on using the computerized touch-screen machines (gee, I wonder why that might be), you have a paper backup. The touch-screen machines I have in my polling place also prints out a paper "receipt" you're supposed to review before submitting your vote. It should be standard procedure that the touch-screen machine records your vote, then prints out a paper receipt that you can take with you. You take the paper receipt, review it to make sure everything is recorded correctly, and then drop it in a ballot box before leaving. At the end of the day, the touch-screen votes are calculated and the paper ballots in the ballot box get hand-counted. If the number doesn't match, then you know you've got malfeasance somewhere.
I'm not sure what the solution would be, but there has to be something better than what we have now (a system where people don't trust that their votes have been counted properly and their representatives shrug their shoulders at them). Of course, we'll never get real reforms like this passed through because the Republicans are in control of this, and it's to their BENEFIT that not everyone gets to vote.
Back in 2004, we had the whole Ken Blackwell voting machine fiasco here in Ohio that cost John Kerry the Presidency. Shortly thereafter (riding the wave of anti-Bush sentiment that permeated the country at the time), we elected Jennifer Brunner as our Secretary of State, and she put reforms in place to greatly cut down on the incidence of Republicans blocking qualified voters from voting. But eventually Ohio put another weasel Republican back in control of the Secretary of State's office who undid a lot of those reforms, and here we are stuck with those unreliable touch-screen machines again. There has to be a better way.