There are no references about this Ramayanam or Azhvar pasurams and our preceptors had also not provided any special insights on this.
Notes:
There is a belief that the offering of this garland will result in success. It is said that Sita Piratti presented Hanuman with betel leaf garland and blessed him to be successful during her stay at Ashokavanam. Although this incident might not be a proof there may be some references to this in Puranas.