18 hours ago, 6010fd12 said:
If anyone here has experience making similar types of alcoholic cocktails in a slushie machine I would really appreciate if you could help me come up with a baseline of the ingredients I have to add to start testing this cocktail.
Sounds like you've got 2 issues: how to recreate the cocktail and how to adapt it for the slushy machine. I have no experience but am wondering if this: How to Use a Slushie Machine from Jeffrey Morgenthaler might help you get started in the right direction.
Edited to add that there is some good discussion in the comments there, too.