I came across the article from OMG Ubuntu! that the GNOME Software Centre is now ready for testing in 16.04 Xenial Xerus.
For those unaware, regular Ubuntu will be replacing the ever-aging Ubuntu Software Centre (USC) with GNOME Software Centre. Ubuntu MATE 15.10 doesn’t ship with any and gives you this choice in Welcome.
If it is fully compatible, this will ship by default in Ubuntu MATE 16.04 LTS. Welcome will continue to offer alternates.
If you fancy giving it a test run, here’s the PPA:
sudo add-apt-repository ppa:ubuntu-desktop/gnome-software
sudo apt-get update && sudo apt-get install gnome-software
At this time of writing:
Once installed you’ll need to run this script as root to fetch and populate the app with AppStream data (as of writing, applications still won’t show up. This is a known issue and will be fixed in a later update).