Redmine

It can be done in easy way :
write shell script to switch git branch
###########update_repo.sh###############
remotebranch_list=$(git branch -a)
#echo $directory_list
for branch_list in $remotebranch_list
do
branchname=$(echo $branch_list | cut -d'/' -f 3)
echo $(git switch $branchname) >>log.txt

done #######################################

add Jenkins job or scheduler to update repository and run shell script to update branch for every new commit .