Question: Does Fallopia or Punica feature more species of flowering plants?

Context paragraphs:
Fallopia: Fallopia is a genus of about 12–15 species of flowering plants in the buckwheat family, often included in a wider treatment of the related genus "Polygonum" in the past.  The genus is native to temperate and subtropical regions of the Northern Hemisphere.  The genus includes herbaceous perennial plants, herbaceous vines, and woody vines.

Austrobaileyales: Austrobaileyales is an order of flowering plants, consisting of about 100 species of woody plants growing as trees, shrubs and lianas.  Perhaps the most familiar species is "Illicium verum", from which comes the spice star anise.  The order belongs to the group of basal angiosperms, the ANA grade, which diverged earlier from the remaining flowering plants, and, as such, it is the extant group after the Amborellales and Nymphaeales, that is sister to all remaining extant angiosperms outside of the ANA grade.  The order includes just three families of flowering plants, the Austrobaileyaceae, a monotypic family containing the sole genus, "Austrobaileya scandens", a woody liana, the Schisandraceae, a family of trees, shrubs, or lianas containing essential oils, and the Trimeniaceae, essential oil-bearing trees and lianas.

Lythraceae: Lythraceae is a family of flowering plants, including 32 genera with about 620 species of herbs, shrubs and trees.  The larger genera include "Cuphea" (275 spp.) , "Lagerstroemia" (56), "Nesaea" (50), "Rotala" (45), and "Lythrum" (35).  It also includes the pomegranate ("Punica granatum", formerly in Punicaceae) and the water caltrop ("Trapa natans", formerly in Trapaceae).  Lythraceae has a worldwide distribution, with most species in the tropics, but ranging into temperate climate regions as well.

Pterostylis atrans: Pterostylis atrans, commonly known as the dark-tip greenhood or blunt-tongue greenhood, is a species of orchid endemic to south-eastern Australia.  As with similar greenhoods, the flowering plants differ from those which are not flowering.  The non-flowering plants have a rosette of leaves flat on the ground but the flowering plants have a single flower with leaves on the flowering spike.  In this species, the flower is green and reddish brown with a protruding sinus and small club-like tips on the ends of the lateral sepals.

Pterostylis alveata: Pterostylis alveata, commonly known as the coastal greenhood, is a species of orchid endemic to south-eastern Australia.  As with similar greenhoods, the flowering plants differ from those which are not flowering.  In this species, the non-flowering plants have a rosette of leaves flat on the ground but the flowering plants have a single small, shiny green and white flower with leaves on the flowering spike.

Pterostylis striata: Pterostylis striata, commonly known as the mainland striped greenhood, is a species of orchid endemic to south-eastern mainland Australia.  As with similar orchids, the flowering plants differ from those which are not flowering.  The non-flowering plants have a rosette of leaves but the flowering plants have a single flower with leaves on the flowering spike.  This greenhood has a white flower with prominent dark green stripes and a brown-tipped dorsal sepal with a thread-like tip.  Mainland striped greenhoods were formerly described as "Pterostylis alata" but that species is now recognised as a Tasmanian endemic.

Pterostylis angusta: Pterostylis angusta, commonly known as the narrow shell orchid, is a species of orchid endemic to the south-west of Western Australia.  As with similar greenhoods, the flowering plants differ from those which are not flowering.  The non-flowering plants have a rosette of leaves flat on the ground but the flowering plants have a single flower with leaves on the flowering spike.  In this species the flower is green, white and brown with an inflated base, a narrow hood and the longest labellum of any Western Australian "Pterostylis" species.

Punica: Punica is a small genus of fruit-bearing deciduous shrubs or small trees.  The better known species is the pomegranate ("Punica granatum").  The other species, the Socotra pomegranate ("Punica protopunica"), is endemic to the island of Socotra.  It differs in having pink (not red) flowers and smaller, less sweet fruit.

Pterostylis metcalfei: Pterostylis metcalfei, commonly known as Metcalfe's greenhood, the large kinked greenhood orchid or Ebor greenhood is a species of orchid which is endemic to the Northern Tablelands of New South Wales.  As with similar greenhoods, the flowering plants differ from those which are not flowering.  The non-flowering plants have a rosette of leaves flat on the ground but the flowering plants have a single flower with leaves on the flowering spike.  This greenhood has a dark green and white striped flower and is known from only three locations.  It is therefore listed as an endangered species.

Eudicots: The eudicots, Eudicotidae or eudicotyledons are a monophyletic clade of flowering plants that had been called tricolpates or non-magnoliid dicots by previous authors.  The botanical terms were introduced in 1991 by evolutionary botanist James A. Doyle and paleobotanist Carol L. Hotton to emphasize the later evolutionary divergence of tricolpate dicots from earlier, less specialized, dicots.  The close relationships among flowering plants with tricolpate pollen grains was initially seen in morphological studies of shared derived characters.  These plants have a distinct trait in their pollen grains of exhibiting three colpi or grooves paralleling the polar axis.  Later molecular evidence confirmed the genetic basis for the evolutionary relationships among flowering plants with tricolpate pollen grains and dicotyledonous traits.  The term means "true dicotyledons", as it contains the majority of plants that have been considered dicots and have characteristics of the dicots.  The term "eudicots" has subsequently been widely adopted in botany to refer to one of the two largest clades of angiosperms (constituting over 70% of the angiosperm species), monocots being the other.  The remaining angiosperms include magnoliids and what are sometimes referred to as basal angiosperms or paleodicots, but these terms have not been widely or consistently adopted, as they do not refer to a monophyletic group.

Supporting paragraphs: Fallopia Punica
Answer: Fallopia is a genus of about 12–15 species