Vyasa, Bharadwaja and Ravana lived before Chanakya (Kautilya)

Chanakya lived after Ravana, Duryodhana, Bhoja (Dandakya), Karala (Vaideha), Janamejaya, Talajangha, Aila, Ajabindhu, Sauvira, Arjuna (Haihaya), Vatapi and Vrishnis who conspired against Dwaipayana (Veda Vyasa). He gives them as examples of people who failed because they were unable to conquer their six internal enemies. (Desire,anger etc…)
Chanakya lived after Bharadwaja, Visalaksha, Parasara (father of Veda Vyasa), Pisuna, Kaunapadanta, Vatavyadhi and Bahudanti . He quotes their views on the matter of selection of ministers.
(See : Explanation for use of future tense in the description of events in the Kaliyuga. ) Vishnu Purana fourth canto, twenty-fourth chapter, regarding the time of Chanakya. ”Mahapadma then his sons – only nine in number – will be the lords of the earth for a hundred years. A brahmana named Kautilya will slay these Nandas. On their death, the Mauryas will enjoy the earth. Kautilya himself will install Chandragupta on the throne. His son will be Bindusara and his son will be Ashokavardhana.” Similar references are also made in the Bhavishya, Bhagavata, Vayu and Matsya Puranas.

Ancient Indians – Satya Samhita