Hi,
you are right about that the A-kasse must set up an employment account (“Beskæftigelseskonto”) for a member who start in a dagpenge period.
Wage hours that are reported to the income register (“Indkomstregistret”) after the latest placement in the unemployment benefit period must be registered in the employment account (“Beskæftigelseskonto”).
I can not say why your A-kasse has not registered your work in 2022 on the “Beskæftigelseskonto”. You must ask them. It can be a mistake – we can only recommend you to ask your A-kasse.
Best regards,
Anders Weber, A-kasser.dk