That page is factually untrue and grossly uninformed of the fascinating things plants are capable of. Honestly expected better of vegans.
Most plants evidently feel pain given that they have a stress response to being damaged. Many of them, like the famous venus flytrap, can feel much more than that. Many plants are capable of sensing their surroundings and responding to stimulus -- rice can sense the sound of rain and pea plants can see their surroundings to grow towards a nearby support (and yes, they are actually sensing photons, not just blindly reaching). Plants also communicate with one another; they can for example release defensive embittering or toxic chemicals as a response to nearby plants being predated on. They are even capable of learning.
Plants are capable of so much more active behaviour than we previously realized. On many of the metrics used by contemporary animal rights activists to define sentience, such as whether an animal is capable of sensing pain or learning, plants also qualify as sentient. The most complex plants are vastly more complex organisms than the simplest animals. Just because they're alien to us and exist on a different timescale does not mean they aren't sentient.
