We don't have synonyms for kaliyuga yet — it may be a rare, specialized, newly coined, or misspelled word. The closest thesaurus entries we have are kali yuga, kaluga and kalinga.
(n) :
Alternative spelling of Kali Yuga. [In Hinduism, the fourth and most evil of four stages of development that the world goes through as part of the cycle of yugas, traditionally thought to have begun at midnight (00:00) on 18 February, 3102 B.C.E. under the Julian calendar (23 January under the Gregorian calendar), and lasts for 432,000 years.]
(n) :
Alternative spelling of Kali Yuga. [In Hinduism, the fourth and most evil of four stages of development that the world goes through as part of the cycle of yugas, traditionally thought to have begun at midnight (00:00) on 18 February, 3102 B.C.E. under the Julian calendar (23 January under the Gregorian calendar), and lasts for 432,000 years.]