TYPO3 Core

I am using Typo3 V 9.5.14
I have two languages - the standard language and one translation.

I have tried with both translation modes: copy and connected

Copy Mode:
Does not work at all - only the standard language is displayed in the frontend. Seems to run the fallback.

Connected Mode:
The frontend shows the content elements in the correct language. Now I move some content elements within the translated language (I just change their order).
That works well in the backend. However the sort order of the content elements in the FE is not what it is in the BE - it uses the sort order of the original language, not of the translated one.

This is my site configuration:

base: 'http://www.mywebsite.at/'
baseVariants: {  }
errorHandling:
  -
    errorCode: '404'
    errorHandler: Page
    errorContentSource: 't3://page?uid=74'
languages:
  -
    title: 'Deutsch AT'
    enabled: true
    base: 'https://www.mywebsite.at/'
    typo3Language: default
    locale: da_AT.UTF8
    iso-639-1: de
    navigationTitle: 'Deutsch AT'
    hreflang: de-AT
    direction: ''
    flag: at
    languageId: '0'
  -
    title: 'Deutsch DE'
    enabled: true
    base: 'https://www.mywebsite.de/'
    typo3Language: de
    locale: de_DE.UTF8
    iso-639-1: de
    navigationTitle: 'Deutsch DE'
    hreflang: de-DE
    direction: ''
    fallbackType: fallback
    fallbacks: '0'
    flag: de
    languageId: '1'
rootPageId: 1
routeEnhancers:
  PageTypeSuffix:
    type: PageType
    default: /
    suffix: /
    index: ''
    map:
      sitemap.xml: 1533906435
      /: 0
routes: {  }

imports:
  - { resource: "EXT:myname_news/Configuration/Routes/Enhancer.yaml" }
  - { resource: "EXT:myname_jobs/Configuration/Routes/Enhancer.yaml" }