There is no green light for the object to reflect.
Under table 2, it says that material B reflects Greenish-Blue. This means that it absorbs everything but green-blue.
According to table 1, green-blue corresponds to approximately 565-420 nm (use emitted color)
The light shone on the object in the question, is red light, which according to table 1 is approximately 650-750 nm (use emitted color)
Put all this together, and the 650-750 nm shone on the object is outside of the range (565-420 nm) that the object does not absorb (it reflects). Essentially this means that the object absorbs everything inside this range (650-750 nm). Also, keep in mind that the object only appears blue-green in white light which means that it normally includes the 565-420 nm, which is not present in the red light light situation.
You could probably also simply use the 2nd half of table 1. A reflected color of blue-green would correspond to ~ 582-667 nm absorbed wavelength. Therefore if you shine a light on it in this range, it will be absorbed.
Perhaps you mixed up reflected and emitted color? Remember, emitted color is a color of light that you can see in complete darkness. Reflected color needs light shone on an object to produce a color. The reflected color is a combination of all the wavelengths that are not absorbed. In the example, there is no green light for the material to reflect if only red light is shone on it.