The video above (post 26) 'Powerless you' explains exactly how much power the people have.
You’re arguing against a documentary with personal opinions. These kind of documentaries are factual otherwise they wouldn’t see the light of day. You may have a romanticized version of the EU and liberal fascism, but let’s bring you up to reality level.
Enjoy, because we’re not.
The video in 26 is BS. The EU is not a true federation. If all of the legislation was done in the EU parliament, then they might have had a point. It's not. The EU parliament passes laws and then these laws get implemented on a local level by the local parliaments. Because of the nature of the integration process, the EU is in an intermediary state, where power is shared between the different member countries.
And then there are outright lies. The European councli consists of the heads of the member states. They are very much elected. The european commission is the govermnet with a minister from every country. How they nominate their candidates is up to each country. Ususally they go through a local parliamentary vote and then they go through a scrutiny by the EU parliament.
I hope some day, when the EU becomes a true federation, the process would become simplier, but it is not undemocratic and is actually quite efficient. Because the people sent to Brussels come from all corners of the EU, they are much less prone to corruption like the locally elected and operating officials. They face scrutiny from all memebr states.