Which organism carries autotrophic nutrition the hawkcricket grass or a deer?

green plant(photoautotroph) and certain types of bacteria(chemoautotroph)

ameba, paramecium, euglena, volvox, and spirogyra. Basically anything in the protist kingdom.

its because the organism either lives close to the surface and because chloroplasts are visible in its cells (only if it is a plant) this information was found in my AP Biology textbook

The English phrase 'autotrophic organism' means plant capable of synthesizing its own food from simple organic substances

Organism, such as plants, who can produce their own food from sunlight, water and carbon dioxide. ( sometimes chemicals-called chemeotrophs )