Its our tradition to use different leaves "patri" and flowers for pooja on Vinayaka chavithi but Basil is restricted in that Patri. Basil being the favorite for all gods but not to Lord Vinayaka, the reason is ....
Long ago, once when Lord Vinayaka was enjoying near Ganga coast, queen Dharmadhwaja was fascinated by Vinayaka and asks him to marry her. Vinayaka disobeys her request to marry him. Queen Dharmadhwaja became angry by Lord Vinayakas disagreement and gave a curse to Vinayaka that he will remain as a bachelor for lifetime.
Inreturn Vinayaka Curses her that she should be with Rakshas for longtime. Queen Dharmadhwaja feels regret and prays Vinayaka for his forgiveness. Vinayaka calms down with her prayings and then says that she will be with Rakshas for sometime and then will get birth as Basil.
Hence Lord Vinayaka dont like Basil to be used in his pooja.