We have API availabe for repos https://docs.databricks.com/dev-tools/api/latest/repos.html#operation/get-repos also we are currently supporting SP.

Step 1: As an admin Create a Service Principal

Use this API SCIM API 2.0 (ServicePrincipals) | Databricks on AWS

Related doc: ​​https://docs.databricks.com/administration-guide/users-groups/service-principals.html 

Step 2: As an admin create a Databricks token on behalf of the Service Principal

Use this API:

Token Management API 2.0 | Databricks on AWS

Related doc: https://docs.databricks.com/administration-guide/users-groups/service-principals.html 

Step 3: Using the Service Principal Databricks Token call the Git Credentials API

Add the Git token via this API: Git Credentials API 2.0 | Databricks on AWS

Step 4: Invoke Repos APIs as service principal using the SPNs Databricks Token

Related stackoverflow questions: Databricks REST API call for updating branch error : User Settings > Git Integration to set up an Az...