Awesome video- and great progress so far! Yes, for sure- bending your legs/bringing weight closer to your center should help.
Try beginning as the legs are lowering with a short arm grip, then once the legs are through the loops, bend legs as much as possible and switch to a longer arm grip. Reach as far as possible over your head, and arch like crazy. Give this a few whirls. Also- timing is a factor. If you can begin the arch back as soon as the legs are throughout the loops this will help. Let us know how it goes!