Best way to get ep is to solo kill everything. If your able to solo killing a SEG will give 2 times the the points as a normal EG so if you can try to solo kill one of them.

Basically last hitting gives 2x ep or getting highest dmg gives 2x but if you get both you get 3x the ep.

Once you've started sharing/tapping other peoples your EG level will probably get to high for you to solo since your sed is really low so you might as well just tap as much as u can to try to get Sr wilds and what not as drops.