The upmarket chain is the first supermarket in the UAE to charge for plastic bags and during the trial, which will end on September 8, customers are being charged Dh0.25 per single-use plastic bag.
Plastic fresh food packaging, drink stirrers, straws and all single-use plastic bags would be banned under the Greens' policy.
"I work at Woolies and have already been abused countless times; it's not our fault", staff member Lauren McGowan told.
But their employees' union -Shop, Distributive and Allied Employees' Association - said some customers had reacted badly to free single-use plastic bags being replaced by 15 Australian cent (11 cent) reusable bags.
They say the use of single-use plastic bags has been reduced by 74 per cent as a result, and Waitrose has sold more than 5,700 reusable bags in the last two weeks alone - compared to just 60 in the same period past year.
'Banning certain types of waste and recyclables from collection and disposal could inconvenience householders and impose additional costs on them by requiring a trip to a transfer station or a chemicals disposal facility, ' the report stated.
US moves to block China Mobile in American market
The move to block the firm comes amid growing trade frictions between Washington and Beijing . Another firm based in China that has been focused on by White House officials is ZTE Corp .
Woolworths state general manager Karl Weber said police had been contacted over the incident and the employee had been offered support.
The union that represents Australian shop assistants has launched a public awareness campaign on the issue.
Another shopper said she saw a woman steal a big bunch of plastic bags from a self-checkout at Coles ahead of the ban.
Coles, Australia's second-largest retailer, has gradually halted the use of disposable plastic bags starting Sunday, as did major retailers.
The United Nations wants to eliminate single-use plastic by 2022 and says more than 60 countries have so far taken steps to ban or reduce plastic consumption. "Before they appeared, we used paper parcels, cardboard boxes, bags and carts", - commented Steven Dawson, Minister of environment Australia.