Using Mechanized Warfare with Chandra, Roaring Flame, her abilities do not trigger the damage bonus. (MW: When another Red or Artifact source you control damages a creature during your turn, this deals 2 damage to it, up to 4 times, per turn.) (C,RF: Deals 4 damage to all opposing creatures).
However, when something has Protection from my colors, that does reduce the damage of my Planeswalker abilities, which tells me that my abilities are Red, which should qualify them for Mechanized Warfare.
Hi Edgar, there is a bugs and technical issues section on the forum where you can post stuff like this: 505 Go! Official Forums. Chances are other players may know the answer or someone from the dev team will answer to you.