You are very unlikely to find a parts-list unless you know someone that actually works with these things. The most likely way you might find out is by looking at a good mobo (probably doesn't have to be same model if it is similar enough) and seeing what there is there. If you do that though you have a new problem, since it looks as though they would have been large ceramic capacitors, which aren't marked. I don't know what value ceramic caps have to be to be that big, but I would take a punt on at least 10uF range but they could be much, much bigger. Also possible they are a low value but big for another reason, like voltage. Their location (and I can't tell if those black boxes are diodes or capacitors because of the red paint over them) suggests they are part of a voltage converter, so likely they are filter caps for that.
So, did you buy the board with the caps missing, or is it one that was working and they have now exploded? The fact they are simply missing with no visible damage is very strange. If you know that they have exploded, I would look for a fault leading to too high a voltage being present on them before going ahead with replacement.
If I were you, if I'd bought the board as is, I would try it. before looking for parts, It might be perfectly happy without them.