Bilingual advantages in executive functioning either do not exist or are restricted to very specific and undetermined circumstances.

By K. Paap, Hunter A. Johnson, O. Sawi. Cortex; a journal devoted to the study of the nervous system and behavior, 2015

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Do Bilinguals Have an Advantage in Theory of Mind? A Meta-Analysis (2018, result): “This secondary analysis, however, should be interpreted with caution, given that these studies may have violated assumptions of the Analysis of Covariance (Miller and Chapman, 2001; Paap et al., 2015).”
The Bilingual Adaptation: How Minds Accommodate Experience (2017, background): “Some researchers have argued that brain results cannot be interpreted in that case (García-Pentón et al., 2016; Paap et al., 2015).”
Bilingualism and working memory capacity: A comprehensive meta-analysis (2017, background): “Recently, such failures to replicate bilingual cognitive benefits have led some to argue that there is no bilingual advantage (Gasquoine, 2016; Paap et al., 2015), sparking widespread responses to these claims (Bak, 2015; Gold, 2015; Kousaie and Taler, 2015; Woumans and Duyck, 2015).”
No compelling evidence for a bilingual advantage in switching or that frequent language switching reduces switch cost (2017, methodology): “Bilingual advantages in switching or mixing costs Paap, Johnson, and Sawi (2015) credit the Prior and MacWhinney (2010) study with launching a flotilla of tests for bilingual advantages in cued-switching tasks and discussed seven studies that followed in its wake.”