Final answer:
The error is the use of the plural verb 'have' instead of the singular verb 'has'.
Step-by-step explanation:
The error with subject-verb agreement in the given sentence is the use of the plural verb 'have' instead of the singular verb 'has'. The correct verb would be 'has' to agree with the singular subject 'each'.
Corrected sentence: Sibling actors Maggie and Jake Gyllenhaal got their start in the entertainment business before adulthood and each has received critical acclaim for roles in edgy relevant films.
Subject-verb agreement in compound subjects like 'Maggie and Jake Gyllenhaal' follows the rule that when two or more subjects are joined by 'and', the verb should be plural. However, when each subject individually refers to a singular noun or pronoun, the verb should be singular.