GCP Cost History charges should match with FlexReport totals but will not with the Cost History Invoice report.
Currently, FlexReports cannot be matched with the Cost History Invoice report since a value for invoice month is not exposed to FlexReports as a column.
CloudHealth is using the same bills that are being collected for Cost History but Cost History (usage date) and History Invoice (invoice month) reports are still based on two different columns and hence both will not match.