You're right it's unelected but there's much more complexion to it than that:
>Selecting the team
>The president-elect selects potential Vice-Presidents and Commissioners based on suggestions from EU countries. The list of nominees has to be approved by all EU heads of state or government, meeting in the European Council.
>Each nominee must appear before the parliamentary committee with responsibility for his or her proposed portfolio. Committee members then vote on the nominee’s suitability for the position. Once the 27 nominees have been endorsed, Parliament as a whole votes whether or not to approve the entire team. Following Parliament's vote, the Commissioners are appointed by the European Council.
Accountability
>The European Commission is held democratically accountable by the European Parliament, which has the right to approve and dismiss the entire political leadership of the Commission.
>The European Commission is also accountable for putting the EU budget into practice. Every year, the Parliament chooses to give (or not) its blessing to the European Commission on the way it has managed the EU budget. This process is called the discharge. The Parliament bases its decision on several reports from the European Court of Auditors and from the European Commission, including the annual management and performance report for the EU budget.
>Selecting the team
>The president-elect selects potential Vice-Presidents and Commissioners based on suggestions from EU countries. The list of nominees has to be approved by all EU heads of state or government, meeting in the European Council.
>Each nominee must appear before the parliamentary committee with responsibility for his or her proposed portfolio. Committee members then vote on the nominee’s suitability for the position. Once the 27 nominees have been endorsed, Parliament as a whole votes whether or not to approve the entire team. Following Parliament's vote, the Commissioners are appointed by the European Council. Accountability
>The European Commission is held democratically accountable by the European Parliament, which has the right to approve and dismiss the entire political leadership of the Commission.
>The European Commission is also accountable for putting the EU budget into practice. Every year, the Parliament chooses to give (or not) its blessing to the European Commission on the way it has managed the EU budget. This process is called the discharge. The Parliament bases its decision on several reports from the European Court of Auditors and from the European Commission, including the annual management and performance report for the EU budget.
https://ec.europa.eu/info/about-european-union/organisationa...