Hi and welcome to the Ubuntu MATE Community, thanks for giving Ubuntu MATE a try.
I had that error a while ago while performing an install.
I don't remember precisely how I fixed it as it's been a while (and I broke my principles as I usually note workarounds I deal with) but remember it had to do with the EFI boot partition.
I think I had created an EFI partition on the drive (512MB should be enough) using the disk manager in a live session. Then I chose «something else» during the install when you have to select how you will install Ubuntu.
Generally, you have to create a partition (ext4 or whatever) for /
(let's say minimum 20GB), a partition for home
(your files) and then down below you select the EFI partition you created earlier in the dropdown menu for the boot stuff.
Then, it shoud install correctly.