There are 2 ways to go about it.
We can copy over the kernels and initrd (or initramfs) files to the EFI and make manual entries for them.
Or we can copy over just the efi files (core.efi or grub.efi) to that EFI and just boot the efi files (thereby booting the grub menu).
Naturally when kernels change we need to copy over kernels (when copying kernels) and manually change again the entries.conf. If copying efi files, we don't need to do that when kernels change but when there's a new grub version, we need to copy the new copy of core.efi or grub.efi
Now all this is assuming we have systemd-boot fully implemented (which it is in KaOS), and is not the case in Solus and needs to be done by a simple 'bootctl install' (and after installing efibootmgr package).
dbarron but grub has managed to sneak in there
Yes, the efi-firmware (at bios) will include all efiboot entries and that will include grub entries.
We can check with 'efibootmgr' but that efibootmgr package is not installed in Solus. Just install this package.
Separate off-topic, grub can boot any installed OS regardless of their bootloader (or none) and regardless where their EFI partition is. I also have refind (sharing the same EFI as systemd-boot) but I almost always boot from grub. grub EFI must be /boot/efi and systemd-boot must be /boot. rEFInd EFI can be /boot or /boot/efi but I personally think rEFInd is best in /boot, and slightly unreliable unless there is a refind.conf with entries specified.
Personally again, I think grub is best in all situations and systemd-boot is good for single OS systems.
I have lots of OS's but I can make rEFInd and systemd-boot boot all these OS's.
[EDIT] - I get the impression that Solus developers think the best (only?) way to boot is through the efi-firmware at bios,
like EFISTUB booting. Of course, personal preferences are always valid and non-debatable. And the full right of any developer to choose what they want in their distro.
I added this edit to explain the philosophy of Solus developers (correctly, I hope) and not to impugn any other attribute.