This trophy is called "
A Lot On Your Plate" and it requires you an entire section in the Epic Food Word Search puzzle.
When loading the game and in the main menu, the top left option is the Epic Food Word Search puzzle. Select it and then you'll be placed into the first section. To unlock the trophy, you need to get every word in that section. You can check your progress by entering the Overview mode by pressing the Triangle Button, unlocking the following if you haven't already:
In Overview you'll see what percentage of each section you've completed within the puzzle.
The easiest thing to do, while not just quickly grabbing obvious words on-screen, is to mash the Square Button for a hint. Pressing the hint button will unlock the following trophy:
What will happen is a single letter will be highlighted. This can either be the starting or ending letter of a word on the list. Figure it out, get it found, and you'll earn the following trophy:
Once you've gotten all the words in a single section, the trophy will pop.
Here is the fully solved first section in an image I stitched together from several screenshots. Yes, the words that go into the blue and green sections are needed as they begin in the red section, meaning they're part of that section: