Unscrew the lens retainer and remove the lens from one side of the goggles. 

Thread the battery holder and Trinket through the open eye-cup.  Replace the lens with the Bionic Eye module and screw the lens retainer back in to secure it.

Fix the Trinket to the side of the eye-cup with a piece of double-sided foam tape.

Route the wires around the edge of the eye cup and fix with hot glue or tape.

Cut notches in the back of the battery holder wide enough for the goggle strap.

Re-assemble the battery holder around the strap.