Preheat the oven to 350°F. Line two baking sheets with parchment paper or silicone mats.
In a large bowl using a handheld or stand mixer with the paddle attachment, beat together the softened vegan butter, granulated sugar, brown sugar, and peanut butter for 1–2 minutes until creamy and slightly fluffy.
Add the JUST Egg (or flax egg) and vanilla extract. Mix until just combined, scraping down the sides of the bowl as needed.
Add the flour, then sprinkle the baking soda and salt on top of the flour. Turn the mixer to low speed and mix until just combined - do not overmix. Scrape the bottom of the bowl.
Fold in the mini marshmallows using a spatula or your hands until evenly distributed throughout the dough.
Scoop 2 tablespoons of dough and quickly shape into balls. Place on the prepared baking sheets a few inches apart.
Bake one tray at a time on the center rack for 11–12 minutes, until the edges are just starting to turn golden brown. The centers will look underdone - this is correct.
Let cookies rest on the baking sheet for 5 minutes before transferring to a cooling rack. Serve warm or at room temperature.