Modi, 50, who remains behind bars at Wandsworth Prison in south-west London, has 14 days to apply for permission to appeal against the Home Secretary's order in the High Court in London.
Each country will be given a rating which determines whether or not travellers will need to go into quarantine on their return.
A discussion among UK lawmakers on Monday has caused anger in New Delhi, which accuses the parliamentarians of interfering in India's internal affairs.
The deceased has been identified as Dr Rakesh Vallitta, a native of Tirur in Kerala's Malappuram district.
The new Standard Operating Procedures (SOPs) will come into effect from 11.59pm on February 22 till further orders.
The move comes a week after the UK revoked the license of Chinese state-owned broadcaster China Global Television Network's (CGTN).
A few new worrying variants out of thousands have raised fears that vaccines will need to be tweaked and people may require booster shots.
The ban also applies to those who travelled through any of these countries during the 14 days preceding the request to enter the Kingdom.
Moore had tested positive for COVID-19 on Jan. 22 and was fighting pneumonia.
The announcement came just hours after the government hailed Britain's success in becoming the first country to begin rolling out the vaccine developed by Oxford University