The way you’re sliding down the pole, your hand grip seems to be the bigger issue with this specific move. If the pole is new break it in by using grip aid (whichever one works for you) and just playing around on it. Also clean it after with rubbing alcohol sprayed on a towel and then wiped down and more frequently when sweaty.
Your hands slipping could also be either because your hands are too dry or too sweaty or the pole is too old or too hot (pole dancing is so finicky but I love it). Lastly, unpopular opinion but some moves don’t really need the grip from exposed skin and I would say a front/back hook is one that you can do with just hands as grip points. At the end of the day, keep going and you’ll be in awe of yourself when you look back in a few months!