What happens in the end of the Tokyo Ravens anime?
This is still unclear in the anime. As of the time of writing, there are 11 volumes of light novel and the anime adaptation has covered up to volume 9 (titled to The DarkSky).
From volume 9 chapter 5 (emphasis mine):

Was it a dream? She wasn't sure. Her fuzzy brain still wasn't working well. The sheets completely covered Natsume, and everything was unclear, so she couldn't make a normal judgment.
Natsume softly touched her lips with her fingers. The sensation lingering there was inexplicably fresh, clear, and real. Natsume's face reddened and she buried her face in the covers again.

He is real. The incident did happen but we are not sure where. Resurrection was successful but there may other thing needed to be done for Natsume to live in real world.
The technical success Suzu was talking about is explained more clearly in volume 10 chapter 3:

 &quot;Yes. I won't hide it any longer. My name is Tsuchimikado Natsume. I was adopted by the Tsuchimikado main family not long after birth and was raised as the next family head. Tsuchimikado Harutora is my childhood friend.&quot;

  

 &quot;Also...... It's true that I'm a dead person. Last summer, I was resurrected from death. ......No, I was just awakened, and right now I'm still barely maintaining my current state.&quot;

In the future, there may be an OVA for the remaining part of LN which may go into detail on it.