I've installed Linux on an HDD but I'm not able to work on it by my Chromebook

Frankly, I have no idea what you are asking.

Hi @Luke90 and welcome to the Manjaro community.

As a new user, please take some time to familiarise yourself with Forum requirements; in particular, the many ways to use the forum to your benefit:

Try again, but this time please think about what you are writing, and remember that nobody else knows what you are thinking; so explain things carefully.

Cheers.

I’ll add that $RECYCLE.BIN is a Windows system file. Did you try to install Manjaro on an NTFS partition? (that can’t possibly work).