Step 1: Name the reaction.
Sodium in liquid ammonia with an alcohol source is a Birch reduction. Here EtOD supplies deuterium in place of the usual proton.
Step 2: Effect of the methoxy group.
The methoxy group donates electrons, so in anisole the remaining double bonds stay on the carbon that carries the methoxy group.
Step 3: Place the deuterium.
The carbons that are reduced pick up deuterium from EtOD, giving a non-conjugated diene with two D atoms.
Step 4: Answer.
\[ \boxed{\text{B}} \]