Preheat oven and prepare pan: Preheat oven to 350F (175C). Line a 10x15 inch jelly roll pan with parchment paper, leaving an overhang on the sides for easy removal.
Prepare egg yolks: In a large bowl, whisk together egg yolks and half of the granulated sugar ( cup) until pale and thick. Add milk and vanilla extract, and whisk to combine.
Sift dry ingredients: In a separate bowl, sift together flour and salt. Gradually add the dry ingredients to the egg yolk mixture, mixing until just combined. Do not overmix.
Whisk egg whites: In a clean, dry bowl, beat egg whites with an electric mixer until soft peaks form. Gradually add the remaining granulated sugar ( cup), beating until stiff, glossy peaks form.
Combine mixtures: Gently fold one-third of the egg whites into the egg yolk mixture to lighten it. Then, gently fold in the remaining egg whites until just combined. Be careful not to deflate the egg whites.
Bake the cake: Pour the batter evenly into the prepared pan, spreading it into the corners. Bake for 12-15 minutes, or until the cake is lightly golden and springs back when lightly touched.
Cool and invert: Immediately invert the cake onto a clean kitchen towel dusted with powdered sugar. Gently peel off the parchment paper. Roll the cake up tightly with the towel, starting from one of the short ends. Let cool completely in the towel.
Prepare filling: While the cake is cooling, prepare the strawberry cream filling. In a chilled bowl, beat heavy cream with an electric mixer until soft peaks form. Add powdered sugar and vanilla extract, and beat until stiff peaks form. Gently fold in the crushed freeze-dried strawberries.
Assemble the roll: Carefully unroll the cooled cake. Spread the strawberry cream filling evenly over the cake, leaving a -inch border along one long edge.
Re-roll and chill: Re-roll the cake tightly, without the towel this time. Wrap the roll in plastic wrap and refrigerate for at least 1 hour to allow the filling to set.
Garnish and serve: Before serving, dust the roll with finely crushed freeze-dried strawberries. Slice into 1-inch thick pieces and serve.
For a more intense strawberry flavor, add 1 teaspoon of freeze-dried strawberry powder to the cake batter. If all-purpose flour is not available, a gluten-free blend can be substituted.