Serverless doesn’t see Aurora any different than it sees MySQL. It’s just a different Engine in your CloudFormation configuration in the Resources section of serverless.yml.
Engine
The name of the database engine to be used for this instance.
Not every database engine is available for every AWS Region.
Valid Values:
aurora (for MySQL 5.6-compatible Aurora)
aurora-mysql (for MySQL 5.7-compatible Aurora)
aurora-postgresql
mariadb
mysql
oracle-ee
oracle-se2
oracle-se1
oracle-se
postgres
sqlserver-ee
sqlserver-se
sqlserver-ex
sqlserver-web