Sbin/init gone after update // Kernel Panic

Hi, I am relatively new to linux and just finished to install all my programs (Matlab was last on the list).
Somewhere along the way a system notification appeared, saying I needed to reboot to complete some updates. I have rebooted many times before successfully. Nevertheless, I accepted the reboot-now option and then the system began freezing slowly until nothing was responding and I had to pull the plug.

Since then I wasn’t able to boot up again…
Here’s the exact error message:

I looked around for similar cases and here is what I already did (some recommendation found on other posts):
– I tried Safe boot the error remains exactly the same
–From live CD I was able to run fsck which signaled no errors
–Furthermore the partition mounts and unmounts successfully from live CD
–sbin/init file seems to be present and not corrupted
– I noticed that the lib folder is empty but do not know if this is normal …?
– Below are a few information about the system. Please ask for further commands I could run.

[email protected]:~$ file ‘/media/ubuntu-mate/7b552038-d5ce-4730-b23f-5debae1ecd3a/sbin/init’
/media/ubuntu-mate/7b552038-d5ce-4730-b23f-5debae1ecd3a/sbin/init: symbolic link to /lib/systemd/systemd

[email protected]:~$ ldd '/media/ubuntu-mate/7b552038-d5ce-4730-b23f-5debae1ecd3a/sbin/init' 
    linux-vdso.so.1 =>  (0x00007ffe4c8be000)
    libselinux.so.1 => /lib/x86_64-linux-gnu/libselinux.so.1 (0x00007f6ac0804000)
    libcap.so.2 => /lib/x86_64-linux-gnu/libcap.so.2 (0x00007f6ac05fe000)
    librt.so.1 => /lib/x86_64-linux-gnu/librt.so.1 (0x00007f6ac03f5000)
    libseccomp.so.2 => /lib/x86_64-linux-gnu/libseccomp.so.2 (0x00007f6ac01b7000)
    libpam.so.0 => /lib/x86_64-linux-gnu/libpam.so.0 (0x00007f6abffa9000)
    libaudit.so.1 => /lib/x86_64-linux-gnu/libaudit.so.1 (0x00007f6abfd81000)
    libkmod.so.2 => /lib/x86_64-linux-gnu/libkmod.so.2 (0x00007f6abfb6a000)
    libapparmor.so.1 => /lib/x86_64-linux-gnu/libapparmor.so.1 (0x00007f6abf95a000)
    libmount.so.1 => /lib/x86_64-linux-gnu/libmount.so.1 (0x00007f6abf712000)
    libpthread.so.0 => /lib/x86_64-linux-gnu/libpthread.so.0 (0x00007f6abf4f5000)
    libc.so.6 => /lib/x86_64-linux-gnu/libc.so.6 (0x00007f6abf12c000)
    /lib64/ld-linux-x86-64.so.2 (0x0000565004b98000)
    libpcre.so.3 => /lib/x86_64-linux-gnu/libpcre.so.3 (0x00007f6abeebb000)
    libdl.so.2 => /lib/x86_64-linux-gnu/libdl.so.2 (0x00007f6abecb7000)
    libblkid.so.1 => /lib/x86_64-linux-gnu/libblkid.so.1 (0x00007f6abea75000)
    libuuid.so.1 => /lib/x86_64-linux-gnu/libuuid.so.1 (0x00007f6abe870000)

[email protected]:~$ ls -a '/media/ubuntu-mate/7b552038-d5ce-4730-b23f-5debae1ecd3a/lib' 
.  ..

I really don’t know how to continue from here as everything seems to be fine. Note that any other partition including win10 do just fine. Somehow the system fails to recognition the sdb2 as a linux system. I find it also weird that the partition is simply named “40GB partition” which seems to indicate some unrecognized stuff.
I am very thankful for anything that could resurrect my ubuntu.

I am so lost right now.
Thank you for any help

Hi

Sorry but I don’t really understand you there.
Usually you’re supposed to start installing programs after that initial reboot.
Word salad?

Edited my post. Sorry, I hope it is clearer now.