fresh
home-grown (esp. BrE), local
supermarket
seasonal
agricultural, dairy (esp. BrE), farm, garden, organic
fresh farm produce

conventional, non-organic
quality
There was limited access to quality produce.

grow
export, market, sell
buy
I buy my produce directly from farmers.

eat
I'm eating more fresh produce than ever.

domestically, locally
fruit and vegetables that are produced locally

commercially, industrially
artificially, synthetically
naturally
organically
organically produced food

sustainably
the sale of sustainably produced timber

annually
the 700 million bottles of Bordeaux produced annually

typically
the sounds that are typically produced by an American orchestra

consistently
The changes have not consistently produced the desired results.

efficiently, slickly
These goods are more efficiently produced in small associations.
a slickly produced thriller

beautifully, handsomely, lavishly
this handsomely produced reference work

professionally
a professionally produced CD

independently
cheaply
The series was obviously cheaply produced.

be able to, can, manage to
be unable to, cannot
may, might
be expected to, be likely to
Which method is likely to produce the best results?

help (to)
intend to
He moved to California intending to produce a third novel.

combine to, interact to
All of these processes combine to produce a particular form of language.

be designed to
use sth to
The technology can be used to produce interactive educational programs.

from
The wine is produced from Chardonnay grapes.

with
The letter has been produced with digital technology.

Produce is used with these nouns as the subject:
artist, company, country, economy, effort, factory, farm, firm, generator, industry, meeting, mill, mine, nature, plant, research, talk, tree

Produce is used with these nouns as the object:
abundance, acid, adaptation, album, armaments, art, article, baby, backlash, beef, benefit, berry, biography, bloom, blossom, brandy, brief, brochure, bulletin, calf, car, carbon dioxide, catalogue, CD, CD-ROM, change, charcoal, checklist, chemical, chip, cloth, coal, coke, collection, commodity, compound, copper, copy, corn, crop, culture, current, decrease, defect, design, directory, disc, dividend, document, documentary, draft, drama, drug, DVD, echo, edition, effect, egg, electricity, embryo, emission, energy, equivalent, estimate, euphoria, evidence, fabric, film, finish, fit, flow, flower, fluctuation, food, force, forecast, friction, fruit, fuel, fumes, gain, gas, gold, goods, grain, graph, graphics, gun, heat, heir, honey, hormone, idea, identification, illusion, image, imagery, improvement, increase, insight, inventory, iron, journal, knife, leaf, leaflet, light, magazine, manual, map, masterpiece, material, milk, miracle, model, movement, movie, mucus, mural, music, mutation, narrative, negative, newspaper, noise, novel, odour, oil, outcome, output, oxygen, ozone, package, painting, pamphlet, paper, pass, passport, pattern, performance, piece, pistol, plastic, plutonium, pollen, pollution, pottery, power, product, profit, proof, protein, prototype, radioactivity, range, reaction, receipt, recommendation, record, recording, reduction, replica, reply, report, representation, research, response, result, return, revenue, rice, saliva, save, saving, seed, sensation, settlement, shadow, shift, shoot, side effect, signal, silk, single, slime, solution, sound, spark, sperm, statistics, steam, steel, stereotype, substance, substitute, sugar, supply, surplus, symptom, syndrome, text, theory, tornado, torrent, track, trail, translation, unit, uranium, vacuum, version, vibration, victory, video, voltage, waste, wave, wealth, weapon, whisky, wine, wool, work, yield