Does microneedling make broken capillaries worse?

It is unlikely to make them worse. For broken capillaries, I recommend lasers (ProYellow, Excel V, VBeam) to give the most improvement. I recommend getting a formal evaluation with a cosmetic dermatologist. Best, Dr. Emer

Microneedling does not improve rosacea nor is it a treatment for facial redness and vascularity. Microneedling is however a great treatment for improving uneven skin texture and treating scars. Lasers such as the Excel V or VBeam will help with facial redness and broken capillaries. 

I don't think it has much affect on broken capillaries long term. If you have broken capillaries now, and want micro needling for some other effect, you could do the micro needling and then IPL or laser later.