I never got better on abx (took them off and on for five years). I'm one of those kinds of people that abx actually made me sicker. I finally got well on natural medicines and treatments (American Biological Medicines) from the Hansa Center. For more information you can read my "Hansa Center Update" thread.
Some people do get better using abx. I'm sure those who did will chime in and answer your question soon. The sooner you get abx treatment after the tick bite, the better your chances are of getting better with abx. If you were recently bitten (less that two months), and are being treated by a qualified LLMD, you should make some progress within three to four months, possibly longer. If you were bitten and infected several months, or years ago, it can be a very long time before you get better, but you might show improvement sooner. I pray things get better for you soon.
By the way, are you doing the detox baths? Very, very important! The toxins in your body from the abx and the die off need to come out of your body in order for you to get well. Abx by themselves will not make you better.