The Sun has 99.86% of the mass of the solar system. These planets can do what ever they want and it will have NO effect. The sun could extrude a very, very, VERY minor solar flare, which by the way, it does quite regularly, and the mass produced would dwarf these two planets.
This is baloney.
Utter baloney! I wonder if it's not meant as a joke.
Interesting fact: The tidal force of objects of the same density is proportional to their apparent area in the sky, measured by steradians, or square degrees if you like.
Note the sun and moon have the same apparent size, but the density of the sun is less than that of the moon, and it has a proportionately smaller tidal effect on the earth.
Likewise, Pluto's tidal effect may be estimated by its apparent angular area. It has an angular diameter of about 2000km/6 billion KM, so it's angular diameter is about 1/3billion, compared to the moon's 1/100. So the tidal effect of Pluto on the earth is about 1/30 million squared, or about 10-15 times the lunar tidal effect.
Gravity is proportional to Distance squared. If those two planets are much closer to earth than sun at that particular moment, it could have more effect than just their mass ratios.