Should he tell them about the other company

My fiance was working for a flatbed company and got fired but wrote down as a voluntary quit because as he was going up a step hill he kept down shifting all the way down to fourth gear and it was still knocking and eventually stalled so he told the trainer to take over for a little bit because he didn't know what he was doing and needed help ect they considered that a he quit but kinda forced fired anyway he got in with another company that he applied for before the company that fired him but didn't hear back from them until after he joined the other company. He got to the point he didn't like flatbed and was going into more with the new companies application during that they asked for a 10 yr work history which he left out the company he was currently working for writing down everything else he was also doing orientation at this point. A week later he was fired and finished the rest of the process with the new company where the recruiter called him and asked more abt his ten yr work history just dates ect even pulled up some he had forgotten abt and tried telling them dates but they didn't pull up the company that fired him this wwas the only trucking company he had been with. So now he is at orientation with the new company starts it tomorrow but is in the hotel tonight they left some papers and one was a dot paper asking for the last three years if he had worked for another dot job so they could pull up drug testing results ect my question is should he not mention them or should he go ahead and right down that company if so what if they bring up why he didn't say anything abt it during the ten yr work history

 

Well what should he tell them if they ask why he didn't write it down on his work history or what if they see that and notice he didn't write it down then fire him for it? I don't want him to loose this company I know its best to be honest I just don't want them to fire him BC he didn't write it down in his work history. Also after getting an interview date with this company he filled out other Alps who instantly were able to pull up his work history and see tthe other company listed yet this one didnt

 

OK so this paper is glass paper giving permission to check the DAC it has a place to list employment from any trucking companies not signing it means u don't give them permission signing it means u do so he signed it but what if he doesn't list the company just signs the paper givinf them.permission to check it if they find it the find it if not? He would be honest if they asked or she he just right it down either way he's givinf the permission to do the dac thing but also during his interview the woman mention she didn't see any companies on his dac and then she went ahead with another question and this interview was done last week. He's giving them permission to do the DAC report but is it that important that he right down the company? If it shows up it shows up they can ask but would he be in trouble for not righting it down

 

Do you think they'll fire him if he writes it down?