Sorry about my notification.
It does work. I had a mod that strangely enough made "God mode" not work for the Dark Elves factions. Please disregard my notification. God mode works as described.
Influence costs rising is normal. It's part of the game mechanics. With the trainer it is possible to achieve much higher influence and thus the costs per action will also rise up rather fast.
When not performing any influence actions for a number of turns the cost will also decrease back to normal. It has nothing to do with the train and it's simply part of the game to make sure players don't save up their influence too much to ironically influence the game too much in one turn.
Cheat Happens does not support or condone the use of cheats in a multiplayer environment.