The statement made at around 2:30, that "100 % of all members of both [the European Commission and the European Parliament] are elected. 100%."
The EU Commission is made of appointed members, one from each member state. The President of the Commission, and then the remaining 26 members, *do* face a vote, but *only* a vote from EU Parliament members. It's not completely unreasonable to argue that indirect elections, ie those by a representative body rather than the electorate itself, are still democratic and still count as elections. But they are evidently not on the same footing as the European Parliament elections.
I was initially going to call this "misleading at best". But as the subsequent passage in the video discusses at length how we don't directly elect Cabinet Ministers, and particularly emphasises the lack of *direct* election, without acknowledging that this is also true for the Commission, then it's either accidentally or deliberately wrong.