Performing the kernel module installation is simple; (after the build step) just invoke the modules_install Makefile target. Let's do so:
$ cd ${LLKD_KSRC}
$ sudo make modules_install
[sudo] password for llkd:
INSTALL arch/x86/crypto/aesni-intel.ko
INSTALL arch/x86/crypto/crc32-pclmul.ko
INSTALL arch/x86/crypto/crct10dif-pclmul.ko
[...]
INSTALL sound/pci/snd-intel8x0.ko
INSTALL sound/soundcore.ko
DEPMOD 5.4.0-llkd01
$
Notice that we use sudo(8) to perform the installation as root (superuser). This is required as the default install location (under /lib/modules/) is only root-writeable. Once the kernel modules have been prepared and copied across (the work that shows up in the preceding output block as INSTALL), the kbuild system runs a utility called depmod(8). Its job essentially is to resolve dependencies between kernel modules and encode them (if they exist) into some metafiles (refer to the man page on depmod...