Level your cakes by cutting the rounded “dome” off the top of each cake round.
Smear a small amount of frosting on your cake board or cake drum.
Take one round of leveled cake, and center it on your board or drum. The frosting will act as a glue, lightly holding the cake in place.
Spread a little bit of the frosting on the cake round, smoothing to an even layer.
Spoon some brown sugar Swiss meringue buttercream into a pastry bag, and cut the tip off - aim for about ½" diameter hole.
Use the decorating bag to evenly pipe an unbroken border along the top edge of the bottom layer. This border should be positioned slightly to the inside of the edge.
Spread the cooled apple filling inside this “dam”, top with second layer of cake. For easier handling, you can wrap the cake in plastic and chill for an hour at this point.
Using an offset spatula (frosting knife), spread a thin coat of frosting over the top and sides of your cake. Fill in any gaps as necessary, and smooth everything as you go.
This step will very likely stir up some crumbs as you go - that’s perfectly ok! This is why we call it a “crumb coat”, after all!
When your cake is completely coated with frosting, return it to the fridge to chill for another 30 minutes or so.
Clean off your spatula, use it to apply a generous layer of frosting to your chilled, crumb coated cake.
I like to frost the sides first, before scooping a generous amount of frosting onto the top of the cake. I spread it out from the center of the cake, towards the edges. Once the top and sides of frosting meet, I tidy it all up with a few more swipes of my spatula.
Decorate the cake with extra frosting, the leftover sauce, and/or fresh apple slices. (Soak the apple slices in lemon juice for a few minutes before using!)