I haven't heard that meds lead to additional anxiety over time.
I can only speak for myself, of course. Some people experience heightened anxiety during the first 2 or so weeks on them, then it declines. It didn't do this for me. I had some headache, dizziness type symptoms for the first couple weeks, then it started to work on my anxiety. Meds were a huge help to me, and like AncientMelody said, I used them in combination with CBT.