Hi Sabear
Pest control contractors provide a service & usually recommend actions during their visits - eg. "Clear waste by compactor" "seal holes in walls" "replace brush strips under doors" - the recommended actions are then the responsibility of the service user (your employer) to find the money & labour to rectify. For instance, the contractor can put down multiple bait boxes, but if there is waste left lying around & proofing isn't done, you're going to have an issue - both with pests & with your auditing body.
It's really unfortunate but sometimes only an infestation seems to motivate senior management sufficiently to recognise they may have a problem (that could affect profitability).
And it is possible to get a major from failing to sufficiently address an ongoing minor - which is logical as it shows that your "corrective action" was not effective. This will depend on the severity of the issue & the individual auditor
My advice is to get the pest control company onside as their (expensive) advice can sometimes be far more effective than advice coming from an employee (you).
Not sure about USA pest control standard contracts but in UK the T&C of the contract will usually include some training on pests, provided FOC. If this is covered by your contract I'd strongly advise you involve the management team in this as it could provide more weight to your argument for swift completion of the pest control contractor's recommended actions.
You should definitely include as many of the senior management team in the pest control annual review in any case, as they need to understand the risks to your industry/sector/facility & what they're getting for their money from the pest control contract.
Best of luck - sounds like a step change in attitude to food safety & some training is needed for your management team!.....