Yes, refugees from Ukraine who fall under the Temporary Protection Directive can use their Ukrainian driving licences throughout the European Union (EU). This applies to all types of driving licence (A, B, C and D), even if they have expired. This also applies to two-year beginner’s licences that have now expired. These have been automatically renewed by the Ukrainian authorities. They will remain valid for the duration of the state of emergency in Ukraine. Driving licences in Cyrillic are also accepted.
If your driving licence has been lost or stolen, you may not drive at this time. The Netherlands is investigating whether these people can get a temporary driving license. This requires that the EU countries have access to the Ukrainian driving license register. The European Commission is discussing this with the authorities in Ukraine. The Commission website provides more information about travelling within the EU for refugees from Ukraine.