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The family Amaranthaceae has a cosmopolitan distribution and it is one of the most diverse families within the order Caryophyllales. Species of Amaranthaceae live mainly in arid environments, saline habitats, or disturbed areas. Nomenclature is the necessary first-step to study the members of this group, aiming to clarify their identity which is often critical. The types of four names in Amaranthaceae (sensu lato, including Chenopodiaceae)—Chenopodium berlandieri, Celosia monosperma, Iresine grandis var. glabrata, Iresine interrupta—with Mexican loci classici are designated in the present paper, including comments on their identities.

The families Aizoaceae and Molluginaceae are distributed in tropical and subtropical areas around the world. In Mexico, these families have been studied for Aguascalientes, Guerrero, Veracruz, the Bajío region, Mexico Valley, and Tehuacán-Cuicatlán Valley. This work aimed to develop morphological descriptions and dichotomous keys for the taxa of the families Aizoaceae and Molluginaceae present in the state of Sonora. The material collected in the state of Sonora and deposited in the University of Sonora herbarium and the Mexico National Herbarium was reviewed, and the identity of the specimens was corroborated using specialized bibliography. In addition, the specimens deposited in the Herbarium of the Arizona State University Vascular Plant Herbarium, University of Arizona Herbarium, and Desert Botanical Garden were consulted online via Red de Herbarios del Noroeste de México. In Sonora, the family Aizoaceae is represented by three genera and five species, while the family Molluginaceae is represented by three genera and three species, mostly distributed in the Sonoran biogeographic province, in sandy soils. All the taxa of Aizoaceae present in the state are part of the flora of beaches and coastal dunes, and the three genera on the family Molluginaceae reported to the country are also found in Sonora.