Two types of traditions are followed for Sri Rama Navami.
In Munitraya Sampradayam, on Sri Rama Navami day there is a practise of observing vratam like Ekadasi and offering festive food the next day. As vratam is observed on Rama Navami, cooked rice cannot be offered; fruits can be offered along with Sri Rama Navami panagam and vadai paruppu. The next day is treated like Dwadasi paranai where festive food like paruppu thirukannamadu is offered along with other food.
As per Sri Sannidhi (Ahobila Mutt) tradition, paranai is done on the same day as Sri Rama Navami. After performing Perumal Tiruvaradhanam, during the afternoon festive food like thirukannamadu, panagam, vadai paruppu is offered along with other food and can be partaken the same after the offerings.