US News puts general undergraduate engineering at 53 for Northeastern and 75 for Rochester
https://www.usnews.com/best-colleges/rankings/engineering-doctorate
This site has them at 38 and 44 respectively for chemical engineering, with Rochester first:
https://www.collegefactual.com/majors/engineering/chemical-engineering/rankings/top-ranked/
Of course, these are just rankings based on various methodologies, and you likely already have seen the first one. The reality is that these are peer schools, and fit/cost should be much more important here. As it sounds like your friend feels like Northeastern is a better fit.
If you want some stuff they may not know, talk about how Merck is a co-op employer and some students in chemical engineering at Northeastern end up there. The first alum I ever met currently works there. However, I suspect that this info may not make a difference.
Are there any other reasons that your friend’s parents want her to go to Rochester? Any cost difference? Particular reservations about Northeastern? Bias to UR? If it’s really just that they think the program is better at Rochester, where did they get that idea from? Convincing them will be much more about answering those questions than generally showing that one school is better than the other for the program, objectively or subjectively.