Modern taxonomists primarily use which of the following to classify living organisms

The modern taxonomists classified organisms on the general basis of evolutionary, morphological, and genetic traits

Explanation:

Evolutionary relationships provides the phylogeny of evolutionary ancestors and descendants  Homologous structures are structures which look the same but perform different functions , like bones of a human leg compared to bones on a bird's wingAnalogous structures have different structure but same function like an insect’s and a bird’s wing Embryo developmental pattern and similar relationships Similarities in DNA and protein sequencing in related organisms

The above basis provided modern taxonomists to classify organisms according to the various disciplines like Genetics, Cytology, Embryology, Physiology, Anatomy and many more.