As Stu and others suggest, try back winding the Genoa
as you tack until there is pressure on it. That will also help the bow around. Before you release take up the slack on your new leeward sheet and it will almost self tack with a minimum of sheet to haul in. Depending on overlap of course.
Try tying your bowlines with the tails the other way around. Does it happen on both sides or only one side. If one side only its probably the way you tie the bowlines.
I've fitted the lower ends of my shrouds with purpose made / for sale
split PVC tubes that click together and act like a roller. I forget the brand. The sail can never hang up and it is easier for you to hang onto going fwd.
I packed my Genoa away and use a jib
. Faster upwind. I use a gennaker
otherwise. That of course depends on your sail plan and in the NZ tradition I have a large main.
You might have a deck
scraping Genoa for so called end plate effect. If you're cruising forget that and have the clew cut higher so it is above the lifelines
keeping the tack (bottom front) in the same place.
Then it will be much much better reaching as the sheet won't create a curve in of the sail when it's eased. It will go just as well upwind and may fix your problem.
advice about that as your sheeting position will change and the track may not go aft far enough.
That will also greatly improve the visibility under the sail.
Low cut Genoa are for crewed racing
with the crew helping it around. Then they use a spinnaker
instead of easing the Genoa sheets much.