The initiative, which ran from 19-26 April, urged retailers to donate goods, supplies or products to charities, organisations or individuals most in need in their local communities.
Aggarwal, who owned Spar stores in Wigston, Leicestershire and Hackenthorpe, near Sheffield, passed away from Covid-19 in April 2020 at the age of 51.
His family has set the goal of raising £100,000 for Leicester Hospitals Charity and Sheffield Hospitals Charity.
Sunita Aggarwal said: “Raj was always doing things for other people, and he would love to know that he is still continuing to help people now.”
Anyone who wants to give a monetary donation can visit: Uk.virginmoneygiving.com/SomeoneSpecial/RajAggarwal1