In short, there are three core institutions, the "technocratic" European Commission, the European Parliament elected by direct popular vote, and the Council ("of the EU"/"of ministers") made up of the relevant (in terms of subject matter) ministers of the standing national govs. The law-making procedures depend on policy areas etc. but usually in the policy areas where EU is fully competent, the Commission — the democratically least accountable of the three bodies — by default makes the initiatives and negotiates/mediates them further along with the Parliament and Council, but only the last two together really have the power to finally approve actual legislation, usually either Regulations (directly applicable in member states as such — so an increasingly preferred instrument of near-full harmonisation), or Directives (requiring separate national transposition / implementation and usually leaving more room for national-level discretion otherwise as well).
While not fully comparable to nation-state parliaments, the powers of the EU Parliament have been strengthened vis-à-vis both the Commission and the Council, and it's certainly long been a misrepresentation to say that they, e.g., only have the power to "approve or turn down" proposals of the Commission and/or the Council.
In short, there are three core institutions, the "technocratic" European Commission, the European Parliament elected by direct popular vote, and the Council ("of the EU"/"of ministers") made up of the relevant (in terms of subject matter) ministers of the standing national govs. The law-making procedures depend on policy areas etc. but usually in the policy areas where EU is fully competent, the Commission — the democratically least accountable of the three bodies — by default makes the initiatives and negotiates/mediates them further along with the Parliament and Council, but only the last two together really have the power to finally approve actual legislation, usually either Regulations (directly applicable in member states as such — so an increasingly preferred instrument of near-full harmonisation), or Directives (requiring separate national transposition / implementation and usually leaving more room for national-level discretion otherwise as well).
While not fully comparable to nation-state parliaments, the powers of the EU Parliament have been strengthened vis-à-vis both the Commission and the Council, and it's certainly long been a misrepresentation to say that they, e.g., only have the power to "approve or turn down" proposals of the Commission and/or the Council.