To get this trophy you must meet the requirements while playing the Awakened DLC. It cannot be unlocked in the main storyline.
Make sure you have a few torque bars in your inventory. There is a MK-II tip behind one of the locked doors. I apologize greatly but I cannot for the life of me remember which chapter of the DLC it is. There are a few of these doors so as long as you have 3 or 4 torque bars, you will be fine.
Once you have the necessary part you can just head to a weapons bench and craft any quick weapon. The trophy will pop once you are done crafting. No need to save it in your inventory or actually use it!