Lyon was part of the Australian Test side that lost 1-2 to India in the 2018-19 home series.
During his captaincy stint, Tim Paine became the first Australian skipper to retain the Ashes in England in 18 years.
Nathan Lyon remarked that it would be not the case later this year as Australia and India will lock horns in a four-match Test series.
Australia tasted their first Test series loss to India on home turf in 2018-19 when Kohli's men handed them a 2-1 defeat.
The Australians dismissed the Black Caps for 251 to lead by 203 runs on the first innings before batting a second time in a bid to build an overwhelming total with two days remaining.
Lyon's sharp statement comes just days after Australia CEO Kevin Roberts said that their board is interested in four-day Tests and they could play one against Afghanistan later this year.
The Blacks Cap, chasing a massive 488 to win, were dismissed for 240 in the evening session of the fourth day with Lyon taking 4-81 and Blundell last man out for 121.
At the dinner break in Adelaide, Pakistan were 229 for eight -- still needing to score another 58 to make the hosts bat again.
The 31-year-old, a key member of Australia's Test team during the recent Ashes series, played a handful of games for Worcestershire in 2017, but this will be his first foray into the 10-team Division