Final answer:
In cytoplasmic inheritance, the mitochondrial and chloroplast genomes are passed to the next generation. Mitochondrial DNA is typically inherited only from the mother, as the paternal mitochondria are usually destroyed during fertilization.
Step-by-step explanation:
The genomes that are passed to the next generation through cytoplasmic inheritance are those of the mitochondria and chloroplasts. These organelles contain their own DNA, which is separate from the nuclear DNA. Unlike nuclear DNA, which is inherited from both parents, mitochondrial DNA (mtDNA) is typically inherited exclusively from the mother. This is because during fertilization, the mitochondria present in the sperm are usually destroyed, or fail to enter the egg, thus the mtDNA from the father do not contribute to the embryo's genome. Consequently, the mitochondrial genomes are passed down to offspring without recombination events that affect nuclear DNA.