I’m coming back to you.
The option (efi_no_storage_paranoia), put in the kernel command line at boot, didn’t change anything.
The i386-efi won’t install during installation. So you have to go through the command line to manually install the i386-efi in the liveusb mode on the ‘hard disk’. After that, Manjaro 64bit system works on the uefi 32bit.
Note: I would like to know one thing. At the end of the installation, the bootloader is installed, but what’s happens after that (because in my case I’ve got an error since it could not be installed) ?
I close the subject.