This Aero Precision Enhanced Carbine Buffer Kit fits Mil-spec, carbine length buffer tubes. Your Hogue stock fits commercial spec buffer tubes. I'd recommend the Luth-AR .223 Carbine Buffer Tube Assembly for commercial stocks, found by using the link below:
https://www.opticsplanet.com/luth-ar-223-carbine-buffer-tube-assembly.html?_iv_additional-features=commercial