how late can u apply for good un. based programs? - aashiqbanayaaapne

[ArchivalUser]

I am getting a reco of my research from my Masters' mentor, but he would mail it only by September 23. This means it would be uploaded by ERAS around 4-7 October. Should I wait before I apply to good university based programs?
I have already applied to the community based programs.

Please let me know