The phrase "sort garbage" is correct and usable in written English.
You can use it when talking about differentiating types of garbage for disposal, such as separating recyclables from non-recyclables. For example, "The city has implemented a new policy requiring everyone to sort their garbage before putting it out for collection."
She said Kasim, 18, had dropped out of school twice, and could do nothing to earn money but sort garbage.
When we take the time and trouble to sort garbage for recycling, we feel that we're doing our part.
Besides cracking down on littering — not an easy feat in a country where rolling down the car window and tossing out a piece of trash remains a reflex — the company requires residents to sort garbage into recyclables.
Then there is cracking down on common errors: the inclusion of cans of wet paint in the garbage (paint must be dried out; adding cat litter does the trick); tossing pizza boxes in with recyclable cardboard (they are too gray); and not bothering to sort garbage.
An ardent defender of India's small-scale farming and cottage industries, Shiva argues that low-cost Chinese imports have already put thousands of village enterprises out of business, driving workers into squalid urban areas to cut bricks or sort garbage.
In addition to the door-to-door collection, he sorts garbage in the street, collecting it into piles that are hauled away by trucks.
-- Meredith Baxter-Birney, who played the mother on the "Family Ties" television show, in a recent Greenpeace public-service message showing the family sorting garbage in the living room.
Paying a toll on the East River bridges might seem too simple, too antiseptic, too easy by comparison with the mortification of sorting garbage.
The diet of gulls (Laridae) is highly varied, including fish, small birds, rodents, and a wide range of invertebrates, taken by active predation, as well as carrion of all sorts, garbage, and some vegetable material.
The crime was also being avidly discussed in Jai Bhavani Nagar and Madanpura, among the city's oldest and most densely populated slums, whose residents earn money selling vegetables or bangles or sorting garbage.
Many of these families make a living by sorting garbage on the street for sellable recyclable materials like paper and cardboard – they are known as "cartoneros" in Argentina – work that the children often do alongside their parents.
