Replacement for Compiz Config Settings Manager in Ubuntu 20.04?

I recently migrated from Ubuntu 16.04 to Ubuntu 20.04 and one of the things I am missing is the Compiz Config Settings Manager. I used the "window grid" functionality of this application very much. It would allow me to quickly move a window to a quadrant (top-left, top-right, bottom-left, bottom-right) or a half (top-half, bottom-half, right-half, left-half) using a keyboard shortcut like Ctrl+NumPad (1-9). This application seems to no longer be supported in 20.04 and right now I can only use the mouse to move a window to the left or right half which is very limited.

I am using Gnome X11.

Are there any replacements for this application that works in 20.04?

The tiling possibilities in Gnome Shell are, and remain, indeed, very limited, limited to tiling half left and half right only. As always, Gnome Shell extensions can come to the rescue.

WinTile: Windows 10 window tiling for GNOME by Fmstrat changes Super+Arrow keys to present tiling similar (allegedly, cannot confirm) to what is available in Windows 10. With one or two keypresses, you easily tile a window half or quarter, e.g. Win+Left will tile a window to the left half. An additional Win+Down will tile it to the lower left quarter.

Other tiling extensions are ShellTile by emasab and gTile by scherepanov.

Note that Compiz is not applicable for Ubuntu Desktop using Gnome Shell. Gnome Shell can only use its own window manager, Mutter. You can install Compiz and configure it, but none of this will have effect. Other Ubuntu desktops, including Xfce and Mate, can run on Compiz.

You still can use Compiz but on MATE, not on GNOME.

MATE is installable by

sudo apt-get install ubuntu-mate-desktop^

Some other interesting plugins are available here from CCSM, for example - Annotate: