While I have not used that specific product, I just checked and see that it is a stain remover for carpet and upholstery. This type of product is not meant to be used on plastic trim or panels like when you show in the photo.
Carpet & Upholstery Cleaners (like our version that I linked) contain salts that help to remove stains from these types of materials. When used as an interior cleaner on plastics, the salts remain behind, and build up, so when the rain hits it, you get exactly what your photo shows.
To remedy this, use a damp microfiber cloth to wipe down the plastic surfaces, rinsing the cloth out often. Not rinsing the cloth enough is just going to spread the salts around, and rather than removing them. Dopending on how much you have used that product, and the corresponding salt build-up, repeated wipe-downs may be needed.
Then, after the plastic surfaces are dry, condition them with our
Leather Conditioner. This product will soak into the plastics to help work the salt out (yes, plastic is somewhat porous).
You may have to repeat this cleaning and conditioning a few more times in the future to really work all the salt out, if there is a major build-up.
The
Leather Conditioner adds excellent protection to the plastics (SPF 65), and leaves a nice matte finish. It is my favorite product for all the interior plastics; dash, door trim and panels, door sills, console cover, and of course, the leather seats. And the scent of fresh leather is amazing!
Here's a write-up on conditioning the seats and plastics:
http://www.fordraptorforum.com/f36/first-detail-adamized-raptor-33281/index14.html#post851151
Good luck, and let me know how it works out for you.