Word premium applies to 2 words?
From the Scrabble rules (emphasis mine):


  Premium Word Squares: The score for an entire word is doubled when
  one of its letters is placed on a pink square: it is tripled when one
  of its letters is placed on a red square. Include premiums for
  double or triple letter values, if any, before doubling or tripling
  the word score. If a word is formed that covers two premium word
  squares, the score is doubled and then re-doubled (4 times the letter
  count), or tripled and then re-tripled (9 times the letter count).
  NOTE: the center square is a pink square, which doubles the score for
  the first word.


Double and triple word spaces only count for words which have one of their letters on that space.  In your example, TOE doesn't have any letters on the new double word square so it doesn't count.

 Side note: if it was meant to double all the points in a turn, I would have expected it to be labeled as "Double Turn Score" or some such thing.