Your genes are a recipe book, not a blueprint. What recipe is chosen is based somewhat on environmental effects. When you reproduce, you pass on the book + the earmarks on the pages.
In your comment, the word "Explicitly" is the controversial part. Of course a memory cannot be _explicitly_ (like .mp4? lol) encoded in genetics. But effects pass on, or so says the field. It's the same as how the word "Memories" in the title is doing a lot of hand-wavey hype generation. Can I share a password or birthday party during intercourse? Of course not.
Indeed so the answer to the question: Can you inherit memories from your ancestors? Is No. Full stop.
You want to talk about how the vibes during your grandparents lives affected some obscure part of your parents health then ok. But these things are completely different.
With our current knowledge, we cannot either prove or disprove this.
But if you want a nuanced discussion of the article, we should soften the gaze a little. That's all I'm saying.