You can do this by downloading the code from Flutterflow directly or by using the flutterflow-cli commands to pull and maintain the code effectively.

To do this, you will need to install the flutterflow-cli globally on your local machine using this command dart pub global activate flutterflow_cli
Or you can also use the Flutterflow Code Export plugin from VS Code and set it up on your Preferences
Setup your Code Export plugin in the Settings by defining the project name, working directory and API token as shown here.
You can also initialise Git in your local repo by enabling the ‘Use Git’ check.
You can create and obtain the Flutterflow API token from your Flutterflow Dashboard, in your Profile.
Once this is done, you can use export your code by following either of these two steps:
1. On VS Code you can use Ctrl + Shift + Command + S to automatically export and save code locally or,
2. You could also download the code from your Terminal manually using the command flutterflow export-code --project <project id> --dest <output folder> --[no-]include-assets --token <token>
This will enable you to export code seamlessly as you work on the FF generated code locally
You can maintain Flutterflow generated code and locally made changes in different branches and use them as you would regularly to push and merge with GitBucket.

Flutter flow Integration with Bitbucket