By default, Android studio can not connect to the Azure devops source codes. To connect to the Azure devops, a plugins by Microsoft needs to be installed in the android studio. To install the plugin, follow the below steps:
1) Open a project in Android studio
2) go to File --> Setting
3) go to Plugins
4) Search for azure devops
5) Click Install
6) Restart the Android studio.
7) Menu->VCS->Checkout from Version Control -> Azure Devops Git