Have not tried it. However the script seems quite dated (2014) and designed for 2.6 kernel. It is not LinuxMint specific. I would recommand rather to consult the LM Forum: https://forums.linuxmint.com/viewtopic.php?f=42&t=284100 [Comment dated july 2020]
I have read of two people who liked this in this forum related to MacBooks: Linux Mint 18 Cinnamon won't Sleep on Macbook Pro - SOLVED. Here's the link before I try it: https://forums.linuxmint.com/viewtopic.php?f=47&t=253836
Haven't tried it. Refers to the website tuxonice.net which is some bizarre magazine site and has zero to do with the tuxonice kernel extensions. Dated as it seems. So I installed and read the man page and it says it's designed to use tuxoice that you can get from that website. Hmmm... maintenace man, fix it!