Unfortunately, I had already ordered the EVO: the connections are definitely not correct (MacBook Air early 2015). Thanks anyway for the tip, maybe it will help others.
No, it cannot be installed like this. I first bought an adapter on Amazon. Everything worked like this, except that the Hybernate mode no longer worked and led to crashes. Then I bought the OWC OWC Aura N (480GB, M.2 2280). It can be installed without an adapter, at least for the 2013.