If you are a UK passport-holder living in the EU, you may need to apply for a Residence Permit to guarantee your right to stay in the EU after 01 Jan 2021.
You may also have to apply if you're not a UK passport holder but your family member (including your husband/wife or civil/unmarried partner) is a UK passport-holder.
If you or your family member is eligible but does not apply you may lose your right to live and work in the EU under free movement law. You should therefore ensure you are aware of your eligibility for residence under the local government laws.
Do I need to apply?
The website here explains who needs to apply.
How do I apply?
You can apply online from now until the deadline. The application process is completely free, and the website will explain everything you need to do.
Deliveroo unfortunately can't help you with obtaining a residence permit as the process is run by the Government.