Rsync not considering timestamps while syncronising git repos after permissions changed

I had a git repo on machine A.

I did an rsync from machine A to machine B using the flags

rsync -zvaP  /media/shihab/development shihab@remote:/media/shihab/OSDisk/development

Later I did some changes in machine B and did an rsync from machine B to machine A using the same flags:

rsync -zvaP shihab@remote:/media/shihab/OSDisk/development /media/shihab/development 

During the sync, I realized that even the files without modifications were synced. Turns out both times of the sync operation, the file owner and permissions were changed. Doing a git status in the repo would tell me that user permissions were changed.

To rectify this, I made changes to the git config global and local by adding core.filemode=false as:

git config --global core.fileMode false
git config --local core.fileMode false

Furthermore, I added the flags, rsync -zvaP --no-perms --no-owner --no-group to my sync to ask rsync to forget about writing the permissions. For example:

rsync -zvaP --no-perms --no-owner --no-group /media/shihab/development shihab@remote:/media/shihab/OSDisk/development

However, despite that change, when I rsync from machine B to machine A, it is overwriting a file with a newer timestamp with that on machine B with an older time-stamp. I can see it if I do a --dry-run -i. The file looks like this on machine B:

-rwxrwxrwx 1 shihab shihab 655 Nov 16 2021 install-i3wm.sh*

While on machine A it looks like:

-rwxrwxrwx 1 shihab shihab 681 Jun 22 11:06 install-i3wm.sh*

when I do an rsync from Machine B to machine A as follows:

rsync -zvaP --dry-run -i -t --no-perms --no-owner --no-group shihab@remote:/media/shihab/OSDisk/development /media/shihab/development

I get:

f+++++++++ install-i3wm.sh

What am I doing wrong?