Question: Are both Genista and Cyathodes a genus withiin the same family?

Context paragraphs:
Cyathodes: Cyathodes is a genus of shrubs within the heath family.  A characteristic feature of the genus is a deeply five-cleft calyx.

Genista: Genista is a genus of flowering plants in the legume family Fabaceae, native to open habitats such as moorland and pasture in Europe and western Asia.  They include species commonly called broom, though the term may also refer to other genera, including "Cytisus" and "Chamaecytisus".  Brooms in other genera are sometimes considered synonymous with "Genista": "Echinospartum", "Retama", "Spartium", "Stauracanthus", and "Ulex".

Genista germanica: Genista germanica or German Greenweed is a plant species in the genus "Genista" belonging to the family Fabaceae.

Retama: Retama is a genus of flowering bushes in the legume family, Fabaceae.  It belongs to the broom tribe, Genisteae.  "Retama" broom bushes are found natively in North Africa, the Levant and some parts of southern Europe.  "Retama raetam" and "Retama monosperma" have white flowers, while "Retama sphaerocarpa" has yellow flowers.  It remains an open question in taxonomy whether the members of the "Retama" genus should be incorporated into the genus "Genista" (see Genisteae).  The name traces itself to the Hebrew "רותם (Pronounced Rotem)"

Echinospartum: Echinospartum is a genus of flowering plants in the legume family, Fabaceae.  It belongs to the subfamily Faboideae.  It is possibly synonymous with "Genista".

Stauracanthus: Stauracanthus is a genus of flowering plants in the legume family, Fabaceae.  It belongs to the subfamily Faboideae.  It is sometimes treated as part of the genera "Genista" or "Ulex".

Leptecophylla: Leptecophylla is a genus of flowering plants in the family Ericaceae.  The genus is native to southeastern Australia, New Zealand, Papua New Guinea and the Pacific Islands.  Some species in this genus were formerly classified within the genera "Cyathodes", "Lissanthe", "Styphelia" and "Trochocarpa".

Supporting paragraphs: Genista Cyathodes
Answer: no