If you are honestly interested in why and which specific young earth claims are considered “anti-science,” Joel Duff at the blog Naturalis Historia does a nice job dealing with one YEC claim at a time and explaining the EC objections to it in a generally respectful way. There are also links to other blogs there that deal specifically with scientific evidence against YEC claims.
Here at BioLogos we try to focus more on explaining evolutionary science and promoting the evolutionary model as compatible with Christian theology than trying to dispute or debate claims YEC groups make.