What an uneducated argument. Right off the bat, the speaker loses. Evolution by definition is "a change in allele frequency in a population over time." That's it.
An allele is an expressed gene. DNA mutates all the time, randomly. Most mutations are inert (they cause no change because the mutation occurs in parts of the DNA which already don't code for anything). Some are detrimental (like achondroplasia or cystic fibrosis). Others may allow an organism to thrive in their environment or better equip them to thrive in a changed environment.
The point is, the changes accumulate within a population over time. In other words, ALL individuals in that population will eventually have the new allele. So yes, male and female evolve together, over time, having their alleles positively selected for by the environmental pressures they're subjected to.
This guy is giving a false analogy. In his mind, he believes evolution can't work because genes rapidly change between genders of individuals within a species from one generation to the next. He would have you believe that male/female mutations are like lowering a window blind with one string at a time so it descends unevenly with each yank. Male and female members of a population are tightly "braided" genetically--both being exposed to the same environment--much like a braided or capped window blind drawstring, allowing the window blind (or balance of similar alleles) to raise & lower at an even level in response to natural selection.
In humans, 44 of our chromosomes are not sex chromosomes, only 2 are. Actually, pretty substantial changes CAN occur between male and female as long as they're still able to produce compatible germ cells. Look at male birds vs female birds in many species. There are huge differences in allele expression and yet they can still produce offspring.
But I guess the dirt man and rib woman in a magic garden who fucked up everything for the rest of us by taking dietary advice from a talking snake makes a helluva lot more sense. My bad! Sorry for murmuring.