The plaintiffs, along with two Catholic priests, accused the officials of "blatant double standards" in their enforcement of social distancing orders.
Unlike in Israel, there is no specific requirement in New York stating that citizens must wear protective masks in open public spaces.
Cuomo said the state is ramping up efforts to focus on specific ZIP codes, predominantly in low income and minority communities, where new cases are spiking.
Cuomo also told a daily briefing that New York would launch a $100 million program to support smaller businesses in partnership with private banks.
"Our businesses are the backbone of this state, and quite literally what we depend on to put food on our tables and is equally vital to our employees, vendors and local neighborhoods."
The news comes days after Cuomo teased a relaxation of coronavirus lockdown restrictions ahead of the Jewish holiday of Shavuot, and is similar to the relaxations he made for Memorial Day ceremonies.
Jews in New York State may be able to gather legally for small-scale religious services during the next holiday, Shavuot.
Nursing homes around the country have restricted or banned visitors to try to keep their residents safe as the number of recorded coronavirus infections in the United States rises past 1.3 million.
'This is every parents' nightmare, right, that your child may actually be affected by this virus,' said New York Governor Andrew Cuomo.
The kits, which also included games for children, were delivered to thousands of community members who sent in requests to Shomrim.