It’s now possible to get the TFS branches to be correct Git branches if cloning using git-tfs. This is now in the stable release! You first clone not the entire repository but the trunk :
git tfs clone http://<tfsurl>:8080 $/main/trunk
Then you run branch --init, which creates a new branch in the Git repository
git tfs branch --init $/MyProject/MyTFSBranch
in your case :
git tfs branch --init $/main/feature-logon
Or use the the --all flag on a fresh cloned repository to create ALL the branches present on the TFS server.
git tfs branch --init --all
You could also clone directly with all the branches using flag --with-branches:
git tfs clone http://<tfsurl>:8080 $/main/trunk --with-branches
The documentation for this new command is here. Feel free to provide feedback to improve it…