Jim Crow restrictions, which were laws and practices that enforced segregation and discrimination against African Americans, had a significant impact on American society. Finding synonyms for this phrase can be challenging, as it is a specific historical term. However, some possible options could include "under racial segregation laws," "in accordance with discriminatory policies," "as per race-based regulations," "owing to segregationist measures," or "following biased guidelines." Each of these phrases conveys the same underlying meaning as "according to Jim Crow restrictions," highlighting the unjust and discriminatory nature of these laws and practices.