auto detect addition and deletion of any file in any specificy directory and subdirectory - linux

Question

I am trying to write a tool to auto-detect any file addition or deletion to a specific directory. I know inotify can do this task in most efficent manner and code would be also shorter. But I cannot use inotify here as I am working on NFS directory , where inotify fail to detect any directory changes. (Which I understand) .
Here is a some rough code I wrote to monitor any directory , which is bad in many way. Also, sometimes it skip some events.
while true
do
touch temp_fs_state.log
touch temp_1_fs_state.log
find . -type f -ls |awk '{print $NF}' >> temp_fs_state.log
sleep 1
find . -type f -ls |awk '{print $NF}' >> temp_1_fs_state.log
diffResult=$(diff temp_fs_state.log temp_1_fs_state.log |grep -E '<|>' )
echo $diffResult |grep -Fq '>'
if [ "$?" -eq 0 ];then
echo "`echo $diffResult | awk '{print $NF}'` ADDED to the target directory!!"
fi
echo $diffResult |grep -Fq '<'
if [ "$?" -eq 0 ];then
echo "`echo $diffResult | awk '{print $NF}'` DELETED to the target directory!!"
fi
rm -rf temp_fs_state.log temp_1_fs_state.log
done
Current result:
Some files are not detected by current solution.
sh monitor
./x9 DELETED to the target directory!!
./x11 ADDED to the target directory!!
./x13 ADDED to the target directory!!
./x14 ADDED to the target directory!!
./x15 ADDED to the target directory!!
./x17 ADDED to the target directory!!
./x17 DELETED to the target directory!!
Question :
Can similar result would be achieved with any other shorter or smarter approach ?
Can we ensure no events are skipped ?
PS: Please assume , CPU performance is not concerned here as it's for testing purpose only.