This DLC has 5 new trophies, all of which are easy to acquire.
Complete "Mechanical Menace"[Story-related]
Complete "Headhunting" [Story-related]
Complete "Restoring Order" [Story-related]
Robot Hunter
Unlock 10 Robot Mods
You can unlock new mods by looting special parts or mods from defeated robots. You'll get a notification in the top right of the screen confirming if you have indeed acquired a mod that's not yet available in your Robot Workbench. If you receive another copy of that mod, you'll be able to attach it to your automatrons for free without spending components crafting one. Defeating the mechanist and taking complete control of the robotic facility he's running will unlock more mod options for your robot workbenches.
The Most Toys
Build 10 Robot Mods
In order to build mods, you should have a Robot Workbench in any of your settlements first. Then, once you mod blueprint / recipe unlocked, spend the required number of materials to build the mod. This should be very straightforward.