The EU has not yet abolished elections, but it is on the way to do so. It has been proved many times that the EU is not interested in the will of the voters. Votes are repeated until the result is right, referenda and election decisions are ignored.
The EU is not planning to abolish elections. This is a conspiracy theory and a recurring pro-Kremlin narrative, which aims to portray the EU as a disintegrating bloc, overseen by a bureaucracy bringing harm to EU citizens and the sovereignty of its member states.
The EU is governed by the principle of representative democracy, with citizens directly represented at Union level in the European Parliament and Member States represented in the European Council and the Council of the EU.