Enhanced Whistleblower Engagement Act This bill modifies requirements with respect to whistleblower protections for employees of an office of inspector general (OIG). The bill specifies that the whistleblower protection coordinator in each OIG shall educate that office's employees on specified matters, including prohibitions against retaliation for protected disclosures and rights and remedies against such retaliation. The bill also specifies that best practices developed by the Council of the Inspectors General on Integrity and Efficiency shall include best practices for the handling and consideration of protected disclosures and allegations of reprisal that are internal to an OIG.