Do the vehicle registration certificate and driver's license need to be consistent when going to Laos ?

The vehicle license plate must be the original one. The driver's license must be your own.

not necessary

I drove to Laos from Kunming by renting a car. The license plate belongs to the owner of the car rental company, and the driver's license is mine. I can get a temporary driving license in the port, and I also need to go through a series of procedures for vehicle entry.

Different is also okay

Of course, consistency is important.

Owner Authorization The owner and driver must be consistent. If they are not consistent, the owner must write a power of attorney.