I need to use different custom fonts inside my project. The fonts required are Proxima Soft, Rubik and Noto Sans. Is it required to add their license to project before publishing to the Appstore? Rubik and Noto Sans are available in Google fonts as well but Proxima Soft is not available there. Did anyone faced rejection from appstore for not adding font license?
What licenses do those fonts use?
Using content without the necessary licensing is unlikely to result in an app review rejection, unless it is something that Apple gets a lot pf complaints about.
I am not aware of any separate requirement for including font licenses as part of app review or approval. FWIW I worked on an iOS app in the past that included Roboto with no issues from Apple app review.
Second, my understanding is that Apple doesn’t license SF font for use in apps on non-Apple devices. You will have to use a different font.
I don't know if rejection likelihood is high or not, but guidelines are explicit:
5.2 Intellectual Property
Make sure your app only includes content that you created or that you have a license to use. Your app may be removed if you’ve stepped over the line and used content without permission. Of course, this also means someone else’s app may be removed if they’ve “borrowed” from your work. If you believe your intellectual property has been infringed by another developer on the App Store, submit a claim via our web form.
So problem could come from font owner complaining to Apple. Did you check with them that you are authorized to use, possibly with a mention of their copyright ?