This is a quotation within a quotation. The inner quotation can be stated as an indirect quotation. Alternate translation: "The Holy Spirit says that this will be how the Jews in Jerusalem will tie up ... of the Gentiles." (See: [[rc://en/ta/man/jit/figs-quotesinquotes]] and [[rc://en/ta/man/jit/figs-quotations]])
The word "hands" here represents control. Alternate translation: "into the legal custody of the Gentiles" or "to the Gentiles" (See: [[rc://en/ta/man/jit/figs-metonymy]])