Why did the evolutionary transformations of the living world accelerate with the advent

Why did the evolutionary transformations of the living world accelerate with the advent of eukaryotes and sexual reproduction?

Eukaryotes have developed a nucleus. DNA was already surrounded by a membrane, and did not move freely in the cytoplasm of the cell. Also, sexual reproduction of cells soon appeared. This has greatly influenced evolution. This is due to the fact that earlier, when cells could reproduce only by division and budding, the offspring had the same DNA as the parent cell. Sexual reproduction involves mixing two DNAs. This is how new, unique organisms appear. But of course, cells in our time multiply more by division and budding, and the sexual process is characteristic of multicellular organisms.