Question: Do the genuses Bidens and Gardenia belong to the same family?

Context paragraphs:
Bidens: Bidens is a genus of flowering plants in the aster family, Asteraceae.  The common names beggarticks, black jack, burr marigolds, cobbler's pegs, Spanish needles, stickseeds, tickseeds and tickseed sunflowers refer to the fruits of the plants, most of which are bristly and barbed, with two sharp pappi at the end.  The generic name refers to the same character; "Bidens" comes from the Latin "bis" ("two") and "dens" ("tooth").

Bidens populifolia: The Oʻ ahu beggarticks or poplar-leaved "Bidens (Bidens populifolia") is a species of flowering plant in the family Asteraceae.  It belongs to the genus "Bidens", collectively called "kokoʻ olau" or "koʻ okoʻ olau" in the Hawaiian language.  It is found only in the Koʻ olau Range on Oʻ ahu.

Bidens campylotheca: Bidens campylotheca, the viper beggarticks, is a species of flowering plant in the family Asteraceae.  It belongs to the genus "Bidens", collectively called "kokoʻolau" or "koʻokoʻolau" in the Hawaiian language.  It is found only in the Hawaiian Islands.

Bidens cosmoides: Bidens cosmoides, commonly known as the cosmosflower beggarticks, is a species of flowering plant in the sunflower family.  It is endemic to mixed mesic forests at elevations of 2000 - on the island of Kauaʻ i in Hawaii.  This particular member of the genus "Bidens" is far larger than its relatives and is pollinated by birds.

Bidens molokaiensis: Bidens molokaiensis, the Molokaʻ i beggarticks, is a species of flowering plant in the family Asteraceae.  It belongs to the genus "Bidens", collectively called "kokoʻ olau" or "koʻ okoʻ olau" in the Hawaiian language.  It is found only on Molokaʻ i in the Hawaiian Islands.

Gardenia: Gardenia is a genus of flowering plants in the coffee family, Rubiaceae, native to the tropical and subtropical regions of Africa, Asia, Madagascar and Pacific Islands.

Bidens alba: Bidens alba, which belongs to the family Asteraceae, is most commonly known as shepherd's needles, beggarticks, Spanish needles or butterfly needles.  "Bidens" means two- toothed, describing the two projections found at the top of the seeds, and "alba" refers to the white ray florets.  This plant is found in tropical and subtropical regions of North America, Asia, South America, and Africa, situated in gardens, road sides, farm fields and disturbed sites.  "B. alba" is an annual or short-lived perennial, which is considered an weed in the United States.  However, "B. alba" leaves are edible and can be used as medicinal remedies.

Bidens wiebkei: Wiebke's beggarticks or Molokaʻi Koʻokoʻolau (Bidens wiebkei) is a species of flowering plant in the family Asteraceae.  It belongs to the genus "Bidens", collectively called "kokoʻolau" or "koʻokoʻolau" in the Hawaiian language.  It is found only on Molokaʻi in the Hawaiian Islands.  There are three occurrences of the plant remaining, for a total population of fewer than 1000.

Bidens conjuncta: The bog beggarticks (Bidens conjuncta) is a species of flowering plant in the sunflower family.  It belongs to the genus "Bidens", collectively called "kokoʻolau" or "koʻokoʻolau" in the Hawaiian language.  "Bidens conjuncta" is found only on western Maui.

Bidens chippii: Bidens chippii is a species of flowering plant in the family Asteraceae.  It belongs to the genus "Bidens".

Supporting paragraphs: Bidens Gardenia
Answer: no