This is what the Scottish ones say you should do.
*If you have received a penalty charge notice (PCN) for driving in a LEZ and you believe that your vehicle is LEZ compliant then the local authority that issued the PCN will conduct a review of the vehicle compliance status with the DVLA as part of the appeals process. To do this, please contact the relevant local authority using the process for appeal described in the PCN.
If you have not received a PCN and you think the result from this vehicle checker is incorrect, please email us at lowemissionzonesenquiries@gov.scot including the name and address of the registered keeper along with the vehicle make, model, colour and vehicle registration number (number plate).
If the vehicle registration number has changed in the past five years then the result from this vehicle checker may not be correct. If you believe that the result is incorrect for this reason then please email us with the registered keeper and vehicle details as described above.
The data accuracy of this service is always improving. We recommend that you re-check the compliance status of your vehicle shortly before you intend to drive in any LEZ.