Women's Business Centers Improvement Act of 2023 This bill reauthorizes the Women's Business Center Program through FY2027, raises the cap on individual center grants, establishes an accreditation program for grant recipients, and revises the duties of the Office of Women's Business Ownership. Specifically, the bill modifies the Women's Business Center Program to enable the Small Business Administration (SBA) to provide initial and continuation grants to eligible entities to operate women's business centers for the benefit of women-owned small businesses. The SBA must also publish standards for a program to accredit entities that receive grants from the Women's Business Center Program, and such entities' receipt of continuation grants shall be contingent upon their obtaining accreditation.