Final answer:
The Cannon-Bard theory is the one that suggests mental processing first, followed by emotion, and then the physiological response.
Step-by-step explanation:
The theory that suggests that first there is mental processing, then the emotion, and following that the physiological response, is the Cannon-Bard theory. This theory posits that physiological arousal and emotional experience occur simultaneously and independently. In contrast, the James-Lange theory suggests that emotion is a result of physiological arousal and that different patterns of arousal can lead to different emotions. The Schachter-Singer two-factor theory, on the other hand, indicates that physiological arousal is interpreted in the context of the environment, and this cognitive appraisal along with the arousal is what leads to the emotional experience.