Best asked in the main Roses Forum, but a little more research is needed. Can you tell us the names of the varieties? Can you describe the blooms on the new canes? Do they look like the varieties that you bought?

If the plants are own root, then the long canes are just new growth. Longer canes sometimes means that they are searching for sunlight. Or, depending on the variety, it could just be normal growth.

If the plants are grafted (they have a big knot at the base of the canes, see the photos), then that long growth is most likely from the rootstock. The most common rootstock used in the US is a once-blooming climber called Dr. Huey. The canes are markedly different than the desired variety. How can you know what's what? Dig under the surface to find the source/origin of the new canes. If they are coming from below the graft union, they new canes are rootstock, and need to be removed quickly. Remove them from as close to the origin as possible. If you don't, then you'll be left with only Dr. Huey, and the grafted variety will eventually die out. Let us know if you can find the source of the canes.