Oftentimes there is a disconnect between the hiring manager and the training manager (and HR). Sometimes, trainers don't know the details of what the new hire will be doing on a day-to-day basis, so they gloss over it during onboard training expecting the operations manager to pick up the slack.
You don't have to do that!
Your onboard training can be superb. All you need to begin is a list of the specific jobs/tasks/questions that new hires will need to be able to address.
Get very specific
If you ask the operations manager what the new hires will be doing, don't let him (or her) off the hook with a simple, "They do accounting stuff." Or, "They answer customer questions."
That's not good enough!
Get a list of the tasks they need to do, the questions the need to answers, and the procedures they need to perform.