Who resonates so strongly with this

Can you please explain what does it mean "resonates strongly"? I didn't understand as well to what imply "with this"... thank you

Video- certain sentence 3.56

And it's incredibly painful for cancer patients who go through hell with all their blood that they have to get drawn or little kids. We've had a phenomenal experience working with mothers of autistic children who resonates so strongly with this, because otherwise when they take a child to get their blood draw, and they literally have to strap the child into a chair.