The EU is definitely more right than left after the last election. The Commission in particular, though it seems they're always more right-wing than the Parliament. As we speak they're watering down all sorts of regulations beneficial to the common citizen but inconvenient to the corporations, and the "moderate" right is now openly threatening to ally, or downright allying, with the far right in various right-wing matters in order to get them passed.
The irony.
Aside from that I also thought EU is more left than right wing right now. Nothing what they try to push this term of office seems right wing to me.