I just read this was the case...
If you don't want to wade through run-in's and attacks for WWE Universe to set up your cutscenes and you wanna get things started off with it tracking your rivalries immediately, here's what ya do...
Just go into My WWE before you start Universe (or at any time really), and set ALL of the rivalries and friendships the way you want them to start occuring, first. Then start playing.
Apparently most cutscenes and match surprises aside from random interferences, are all dependent on the rivalries mode. Basically, set your friends, and enemies, wind it up and watch it go.