Taylor bemoans the fact that Luke won’t beautify his diner, and suggests that some pots of zinnias outside would freshen the place up.
Zinnias are colourful long-stemmed flowers which are members of the sunflower family. They are native to an area which stretches from the south-west of the United States to South America, with most species originating in Mexico. They are hardy, long-blooming, cheerful-looking flowers which attract bees and butterflies, making them a favourite with home gardeners.
Zinnias symbolise endurance, so Taylor wishing Stars Hollow to be decorated with zinnias could be a sign that he values the history of the town, and wishes for it to last for many more years.