The current study aimed to investigate interaction effects of trauma type (nonsexual assaultive, nonassaultive, sexual assaultive) and PGS of cognitive function (fluid intelligence) on performance measures and frontal theta ERO power (during cued no‐go and go conditions) from a continuous performance test (CPT), which is used to assess behavioral inhibition, using data from trauma‐exposed offspring in the Collaborative Study on the Genetics of Alcoholism (COGA) prospective study. Exploratory analyses investigate sex differences in these relationships. We hypothesized that assaultive‐type trauma would moderate associations between PGS of cognitive function on performance measures and frontal theta ERO power during a CPT task. Understanding these effects can inform early interventions for individuals at high risk for trauma exposures and altered cognitive function.