I'm fairly certain the implication, and I think it was Michael Steele who first said it, but Sarah Palin really popularized it, was that "we're going to drill and gas is going to be cheap because of it so vote for me"
BUT, even if you follow the implication of it being creating jobs via oil infrastructure construction, exploration, executive action, regulatory rollbacks etc, its is not as if one single politician, or even a bunch of politicians, have any direct influence over that. Oil companies decide when to drill and they determine that by global demand, profits refining limitations etc. You can open up new areas to drilling and exploration, but if the timing is not economically viable, then they aren't going to drill. It was a one line slogan presented as an ultimate solution so people would vote for the folks who touted it. Politicians never had the ability to make oil companies create jobs or even influence oil prices by drilling more in the US. They do hold some amount of influence over the keys to exploration if they can collectively generate the support, they can roll out some execution actions that create incentives, but that's the end of it. And even when these tenants have seemingly come together, say earlier this year with peak US production, it hasn't proven itself sustainable.
If you wanted to turn "drill baby drill" into a truthful statement, it would read "we're going to hope that these global oil companies have the need to drill more and that may very well create some jobs, but it may not effect the price you pay at the pump"
If you wanted to turn it into a political statement that implies that fuel at the pump is going to be cheaper then it would read something like, "This administration is going to build and maintain strategic diplomatic relationships with OPEC and the oil producing countries around the world to best optimize fuel prices in a way that benefits both industry and the consumer. Keep in mind, these relationships take years to develop and are subject to complex geo political events and may very well be disrupted for weeks, months or years at a time. Just being honest with you"