Thank you for your enquiry.
Your application along side the Appendix 2 form should have been submitted together. Did you submit by registered mail? On what grounds did they refuse your partner's visa. You dont have to be married to apply for a family based visa.
Ok. The Appendix 2 form is for financial information and given that you have not mentioned that the Home Office hasnt denied on the basis of not meeting the financial requirement then it isnt just because the form was not submitted.The Home Office have given substantive grounds for refusal - lack of evidence and not proving that your relationship is genuine and subsisting.
The financial requirement is tested against you as the sponsor. So you would need to provide your payslips and evidence of your employment and earning. Your partner cannot start working in the UK even if her passport was returned unless she previously had a Tier 2 visa. Your partner cannot work on a visitors visa and her children cannot go to school on a visitors visa unless the children are British.
Unfortunately there is no way of entering the UK without the appropriate visa. Your partner will need to make a fresh application and provide substantive evidence of your relationship and how you (sponsor) meet the financial requirement. This application should never have been done without legal help.
I would be grateful to be rated thank you.