England's summer tour also sees them face the Australian Barbarians as well as the New Zealand Maori.
Tomkins had been an injury doubt after damaging his pelvis in a warm-up game against the New Zealand Maori but he will partner Kevin Brown in the halves.
Full-back Cashmore has played for the All Blacks, New Zealand Maori and New Zealand sevens team as well turning out for the Blues Super 12 franchise between 1996 and 2000 before a stint playing in Japan.
BBC: SPORT | Rugby Union | Lions in NZ | Plenty opt for forward strength
"The NZ Maori Rugby League is excited by the opportunity for the Maori team to take the field against England, " said New Zealand Maori chairman Howie Tamati.
Born in New Zealand, Finn was influenced by the classic sounds of British Invasion bands like the Beatles and Kinks, but also by the music of New Zealand's native Maori people.
"It's going to be a big contest in the forwards, " said blind-side flanker Ormond, who was not considered for New Zealand Maori's international against Fiji in Suva on Friday in order to lead his province against the Lions.
BBC: SPORT | Rugby Union | Lions in NZ | Plenty opt for forward strength
The inspirational prop ruptured his right biceps in the sixth minute of the tourists' 18-18 warm-up draw with New Zealand Maori in Auckland on Saturday.
BBC: England captain Adrian Morley ruled out of Four Nations
Flutey, who has played for New Zealand under-19s and under-21s as well as New Zealand Maori, recently qualified for England on the three-year residency rule.
English, Maori and Samoan are the three most spoken languages in New Zealand.
New Zealand in the late 1960s and early 1970s was changing fast for both Maori and Pakeha.
Many comments centred on the fact that Dame Kiri, who is Maori, has not lived in New Zealand for many years.
The Maori's win confirmed a southern hemisphere rugby whitewash this weekend as New Zealand, Australia, South Africa and Argentina completed Test victories over Ireland, England, Scotland and Wales.
BBC: SPORT | Rugby Union | Internationals | Scotland A 17-52 NZ Maori
Maori Land Court Minute Books from the 19th century and a documentary recording the 1981 Springbok Tour of New Zealand have been inscripted onto the UNESCO Memory of the World New Zealand register for documentary heritage.
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