Rajeeve is married to Dr. Vani Kesari who is teaching law at the School of Legal Studies, Cochin University of Science and Technology.

When he retired, leaders from most political parties pleaded with CPI(M) general secretary Sitaram Yechury to consider getting Rajeeve elected again to the parliament.

He was highly praised for his parliamentary performance by political opponents like former finance minister Arun Jaitley, Congress leader Gulam Nabi Azad, BSP supremo Mayawati and Rajya Sabha deputy chairman P. J. Kurien.

[4] In 2020, his book Bharanaghadana: Charithravum Samskaravum received the Abu Dhabi Sakthi Award in the scholarly literature category.

[6] Rajeeve started his public life as an organizer of the Students' Federation of India (SFI) being active from his School days.