In a small bowl, mix the granulated sugar, brown sugar, allspice, ground cinnamon, and ground ginger. Mix this well.
In a medium size bowl, mix the cream cheese with 3 tablespoons of sugar and spice mixture. Mix this with a whisk or hand mixer until all ingredients are incorporated.
Add the pumpkin puree. Mix well and set aside.
Roll the crescent rolls on a clean working surface, and separate them into 8 triangles, a pizza cutter is a great too to use to fully separate them. This works well on a baking mat.
Scoop 1 tablespoon of the pumpkin mixture and place it on the wider part of the crescent roll.
Roll the crescent roll and then place them in the air fryer basket.
Do not overcrowd the basket, 4 typically fit best and do them in batches.
Brush each crescent roll with melted butter and the sugar-spice mixture.
Cook in the air fryer at 315°F or 325°F if using a Cosori for 8 minutes.
Place the cooked crescent rolls on a cooling rack while you cook the final 4 rolls.
Once all are cooked, make the glaze.
In a small bowl, mix the powdered sugar and heavy cream until well combined.
Drizzle on each crescent roll and serve.