In this research paper, we conducted a literature review to see how STEM education researchers have used motivational theory and correlated constructs from these theories to students' cognition. Using motivational theories helps researchers conceptualize a complex psychological construct and categorize students' motivational orientations. Determining the usefulness of each orientation is often established through measures of cognition, with correlations that can be made between the two. While these types of studies are common in fields such as education and psychology, their use in undergraduate STEM education is lagging. Understanding the current state of motivational theory research within STEM education would help researchers know the major conclusions made and what future contributions should focus on. This review was narrative and seeks to synthesize findings from articles to create important and useful discussion points. For this review, we highlighted three motivational theories: self-determination theory, expectancy-value theory, and achievement goal theory. These three were the focus of this review as they are the more widely used and well-established motivational theories. From our review, we found that research using self-determination theory focused on autonomy and how to improve feelings of autonomous motivation in students to increase cognition. Researchers using expectancy-value theory were more balanced in their investigations, focusing on how both student expectations and values play a part in student cognition. For researchers using achievement goal theory, the focus was on the benefits of both mastery-and performance-based orientations and the use of multiple goal perspectives. Related to measuring cognition, we note that different measurements of achievement can make comparisons across projects difficult; as such, researchers should consider the best measurement for their specific goals and questions. From an engineering-specific context, we suggest that researchers attempt to develop and implement motivation-focused interventions to see the effects on students' motivational mindsets and cognitive abilities, as well as investigate how departmental or students' familial cultures affect their motivational orientations.