It is not a direct problem but a problem with solus dependencies, which indicates it is a modified gnome desktop
gnome-bluetooth
gnome-session
mutter
mutter is the wm gnome is based on. If you can find a way to install those three without systemd then it may be possible.
Then modify
https://github.com/archlinux/svntogit-community/blob/packages/budgie-desktop/trunk/PKGBUILD to what you already built replacing the arch dependencies with your built packages.
systemd/libsystemd-dummies elogind libelogind and such packages are for distros that are pseudo-systemd-free, I didn't think obarun devs are willing to pup up with such crap every upgrade to provide support for such. You do know that gnome is a sub-group of the corporation that creates systemd, don't you?