In many cases the word choice creates a difference in emphasis:
Technique emphasizes method, and hence the expertise of the individual employing the method. See Merriam-Webster, "technique, noun," where manner is associated with details or movements and method is the central focus.
Technology emphasizes applied knowledge itself, and hence the resulting implement, tool, device, or capability. See Merriam-Webster, "technology, noun," where practical application, capability, and manner take precedence.
So in food production techniques, one may emphasize the role of the individual preparer or a specific production-line method:
University education of gastronomic experts can help to advance the slow food agenda through the preservation of knowledge about food production techniques and local cuisines by embedding knowledge of local systems of food production into a global framework. (Focus on meal preparation involving local methods.)
Such quality concerns can include food safety and aesthetic attributes, but they also include concerns about how food is made, and the impact that food production techniques have on the environment, on labor, and on animal welfare. (Focus on methods for producing food, and specifically meat.)
Meanwhile, in food production technologies one may emphasize the application or capability of specific tools:
Traditionally, the progress addressed in food production technologies has been to improve the nutritional and sensorial quality of products, as well as to extend product shelf life and to increase process productivity. (Focus on process and capability.)
Both Cohen and Yesner invoke aspects of optimal foraging theory in relation to resource depletion and population growth in order to explain why apparently abundant species and simple food production technologies were neglected for tens of thousands of years prior to the Neolithic. (Focus on application of potential capability generally.)
Are they absolutely different? No. The two words are somewhat interchangeable; in the second long quote above either "technique" or "technology" would describe a large-scale set of processes that would have an effect "on the environment, on labor, and on animal welfare." At that point, use your own judgment and decide what you want to emphasize with your word choice.