I asked the same question a while back about the small wooden needles for a French hitting kit. General advice was no, although one person had had no problems bringing a sewing kit complete with scissors into the plane!
I fly a lot and knit between reading in airports and on the plane. Never had any trouble with wooden/plastic needles, though I always put them at the bottom of the bag for security checks and hope they look like pens on the x-ray. Blunt tapestry needles also seem to be OK as long as you don't go around telling people they're there.
I just don't see how they could tell plastic or wooden ones were there unless you have to empty your bag. As I say, I do it all the time. (Though taking something so you save your work if it doesn't work is obviously sensible, and you can almost certainly then buy more needles at your destination).
My recent experience suggests it's all a bit hit or miss and depends on what they pick up on the xray screen.
I suspect that if you showed your knitting needles at the security check they'd make you put them in the bin.
However, I inadvertently took a pair of nail scissors through security on two flights and wasn't stopped, but was stopped and they were confiscated on the first of the two leg flight home.
If you aren't worried about losing them, then put them at the bottom of your bag and hope for the best I guess. Won't make any difference that it's with Ryanair or not because obv it's security that will make the decision (or notice or not).
You are not allowed to take any knitting needles on a plane. Also you can only take one hand luggage bag not lots if carrier bags and a handbag. Some airlines will let you take a handbag as well as the other hand luggage bag but.most don't so you will need to contact your airline about that. I always put my handbag into my hand luggage bag.