Okay. Let me provide you with evidence that you should be able to correlate to daily life.
Evolution is the changing of genes through mutations that enable creatures to better adapt to their environment.
One thing that correlates directly to this is selective breeding, or the breeding of animals or plants with traits the breeder wants in order to produce offspring with more of those traits and less flaws. This happens because of the genes of the plants with the traits in question is passed on to the offspring. This is essentially evolution on a smaller scale.
Guess what? Australian Shepherds, a breed of dog, did NOT exist 1000 years ago, but it does today. Do you know why? Not because “God” dropped them on the earth, but because humans selectively bred dogs and wolves until eventually they had produced a breed with the traits they wanted, hence the shepherd.
Evolution is just selective breeding but on a much larger scale, where creatures with traits that are favorable survive to reproduce, and they produce offspring with those traits. This happens hundreds of times over the course of billions of years, until eventually the offspring is so wildly different from the original species that it is essentially its own species because a lot of the genes are matching.
If selective breeding and gene manipulation is an accepted fact of the world, then why not evolution, which is literally just selective breeding on a huge scale?