Information on DAC how long does it take for a company to report

My fiance starts for averitt soon he didn't tell them about the last trucking company he worked for BC at the time he was just starting orientation with them. He quit/fired but they said they would right it down as a voluntary quit so he would be able to get a job. Well he hasn't told averitt abt them and the lady he had an interview with last week said she didn't see any companies listed in his DAC but when he got to the hotel averitt had some paper work prepared one was requesting permission to check his DAC report he signed it but it also says to list all companies within the past three years so hire rite can get drug screen results ect its been abt two weeks since he quit with the other company and about 5 days with the lady with the interview with averitt said there wasn't anything on his DAC so does that mean that other company isn't on his DAC and he should leave it alone just signing the paper nothing else or should he go ahead write it down? I don't want him toget fired over this if they ask him abt it he would be honest and tell them I'm just afraid since he didn't have it on his ten year work history plus I wouldn't want him to write it down if its not even on his DAC how long does it take before something gets on his DAC will it for sure be on there? What should he do should he just sign the paper giving permission or she he just sign it and write down the company too?