Im just gonna get right to it. Sasuke had Hashirama's cells pumped into his heart. He was also given chakra from Hashirama. He was the only person other than Hashirama himself to have that. One would think that it would allow him to gain some of Hashirama's abilities but he never attained a body powerful enough to cultivate Hashirama's cells to the point where this would occur. Madara was able to achieve that because of his connection with the ten tails. But the genetic information remained within Sasuke and he passed it on to Sarada. What do you get when you mix senju and uchiha? Hagoromo Otsutsuki... Who was the closest thing to Hagoromo? Madara Uchiha... Therefore Sarada is picking up where Madara left off before he became a 10 Jin. The six paths power has been passed on to her as good karma because of the challenges that Sasuke and Madara overcame as transmigrants of Indra.