The above screenshots show the current state of my Parrot System.
I use Virtual Box.
This error happened after I updated my parrot system. I shut it down then tried to boot it again and I was greeted with the messages above!
As Amzker says, you just need to edit grub to latest kernel.
If your grub shows up when you boot to your system go to advance (Where recovery modes are). Based on your evidence, your latest kernel version is the 13t, so all you need is boot in recovery mode but for the previous kernel version (10 in your case).
Type your root password if needed and then follow this commands:
#mount -o remount,rw /
#\
mount -o remount,rw / #mkinitramfs -o /boot/initrd.img-4.19.0-parrot1-13t-amd64 4.19.0-parrot1-13t-amd64 (Hope no errors here, no output is shown though)
Then just update grub and grub2 #update-grub #update-grub2
Then reboot with #reboot and your parrot os should start as expected.