To properly answer your question, please specify from what perspective are you trying to make the relationship analysis. Is it from a procedural, economic, historical or philosophical perspective? Based on your answer, I can provide you with some references.
If you use technology without science you are a practitioner. Real technology comes together with science, by which you can make amazing things, like explaining why a machine part is suffering more than its neighboring ones. Therefore, optimum and correct use of technology may be done only through a deep knowledge of science.
literature abounds on STI (science, technology, and innovation), which is an established field. the relationship between science and technology is considered and modelled in STI
Each of the approaches mentioned in my previous post has a different focus and therefore different conclusions on the link between science and technology. The link is not as straightforward under most interpretations as put forward by Theodore (which comes from the thinking of Bunge[1] and other philosophers of science. This point of view been abundantly criticized especially from sociologist following Kuhnian views). The link may be less evident as shown in the literature on more sociological approaches (see for example [2]). A point of view that can be exactly the opposite of what Theodore said can also be put forward also where the greater contribution flows from technology to science and not the other way around.
I would first define the approach to elaborate this question and then move from that point forward.
[1 ] Bunge, M. (1966). Technology as applied science. In Contributions to a Philosophy of Technology (pp. 19-39). Springer, Dordrecht.
[2] The Nature of Technological Knowledge. Are Models of Scientific Change Relevant? by R. Laudan