Prayers, penance and fasting are held on Good Friday to commemorate the crucifixion of Jesus Christ 2,000 years ago.
The ruling Congress-led Meghalaya United Alliance government has decided not to participate in the programme.
The opposition Hill State People's Democratic Party and National People's Party have also opposed the Centre's move.
Similarly, the Nagaland government, of which the Bharatiya Janata Party is a part, will not join any activity relating to promotion of Digital India programme.
Lok Sabha member Conrad K. Sangma of the National People's Party (NPP), a BJP ally, on Wednesday wrote to Prime Minister Narendra Modi to urge him to defer the Digital India Day programme.
Meghalaya Chief Minister Mukul Sangma said his government will not participate.
"Is it that they selectively identifying these dates to marginalise the minorities with a complete disregard to the constitutional obligation of ensuring personal liberty?" the Congress leader asked.
Nagaland Chief Secretary Pankaj Kumar said the state government will not join any activity relating to promotion of digital payment on Good Friday.
It is a part of a mega draw and 'Digi Dhan' planned for April 14 for the promotion of digital payments in 100 cities across India. The list does not include Nagaland, Kumar said.
(This story has not been edited by Social News XYZ staff and is auto-generated from a syndicated feed.)
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Doraiah Chowdary Vundavally is a Software engineer at VTech . He is the news editor of SocialNews.XYZ and Freelance writer-contributes Telugu and English Columns on Films, Politics, and Gossips. He is the primary contributor for South Cinema Section of SocialNews.XYZ. His mission is to help to develop SocialNews.XYZ into a News website that has no bias or judgement towards any.