Preheat your oven to 325°F (160°C). Line an 8x8 inch baking pan with parchment paper, leaving some overhang for easy removal.
In a medium bowl, combine graham cracker crumbs, melted butter, and 2 tablespoons of sugar. Mix until the crumbs are evenly coated.
Press the mixture firmly into the bottom of the prepared baking pan to create an even crust. Bake for 10 minutes, then remove from the oven and allow to cool slightly.
In a large mixing bowl, beat the softened cream cheese and 3/4 cup sugar together until smooth and creamy.
Add in the eggs one at a time, mixing well after each addition. Make sure to scrape down the sides for a uniform consistency.
Mix in the sour cream, 2 teaspoons matcha powder, vanilla extract, and a pinch of salt. Beat until everything is nicely combined and smooth.
Pour the cheesecake filling over the cooled crust, spreading it evenly. Tap the pan gently on the countertop to remove any air bubbles.
Bake in the preheated oven for 25-30 minutes, or until the edges are set but the center still has a slight jiggle.
Once done, remove the bars from the oven and allow them to cool at room temperature for about an hour. Then, refrigerate for at least 4 hours (overnight is best) for the flavors to meld and the bars to set.
Once chilled, lift the cheesecake out of the pan using the parchment overhang. Cut into squares or rectangles, and dust with extra matcha powder before serving.
Notes
For best results, refrigerate overnight before serving.