Evp, short for 'EvaluatePackage' (but you can just type evp too) makes an NPC update his AI, checking if he's still running the right package according to the current conditions. Sometimes NPCs don't instantly update their AI, for example if a character is set to sit at the bar from 7 PM until 11 PM and then at 11 PM goes to his house, he might not stand up from his chair at exactly 11 PM, because he has not evaluated his AI packages yet to see what time it is and what the appropriate package would be for that time of the day. With EVP you force him to check it at the moment you use the command.
This is especially useful for quests where actions by the player need immediate change in behaviour from NPCs. Like the slaves who are waiting for you to clear the Lincoln Memorial of hostile slavers. Once you tell them it's safe they are supposed to move in right away instead of just standing around a bit longer until their AI updates, so to ensure that they get going EVP can be used.
Edit: Okay I'm awfully late but whatever.
Good luck with that quest.