Connect dbt cloud with Git - empty repo

Hey there,
I just started with dbt cloud, set up a project incl. linking it to Git and created a simple model. However, my Git repo is completely empty. Whenever I push something via the dbt cloud UI, it’s not reflected in Git. When I go to Profile Settings > Linked Accounts then it tells me “You have connected the dbt Cloud GitHub app to the following accounts: my account”. So shouldn’t it worked then? Has anyone any clue whats wrong?