In a medium saucepan, combine the brown sugar, flour and salt. Whisk until well combined.
Slowly whisk in the reduced apple cider and mix until smooth.
Place saucepan over medium heat and stir continuously for five minutes.
Continue to gently whisk over medium heat until the mixture thickens, about 5 more minutes. The mixture should be this like pudding or custard.
Pour the mixture into a heat safe container and cool completely. I put mine in the refrigerator over night.
Place the softened butter into the bowl of a stand mixer fitter with the whisk attachment. Whisk the butter at full speed until light and fluffy. Scrape down sides a few times.
When the butter is pale and fluffy, add the cooled custard mixture in 3-4 increments. Don't do what I did and add the custard while the mixer is going, it makes a big mess.
Add the vanilla and mix until the mixture is fully combined. You can switch to the paddle attachment to get rid of air bubbles in the frosting.