Your cysts likely keep recurring because the Bartholin gland's drainage duct tends to re-block after each flare. This can happen even once antibiotics have cleared the active infection. Draining a cyst treats that episode, but it doesn't always stop the duct from blocking again later, on either side. That's why you're seeing repeat lumps months apart.
Next Steps
Ask your gynaecologist about marsupialization or a small Word catheter. Both keep the duct open and cut recurrence more than drainage alone. If your cysts keep returning despite this, removing the gland is the option left to stop them for good. A pelvic exam and a swab of any discharge will help your doctor decide which fits you best.
Health Tips
See your gynaecologist in person soon, since choosing between these options and ruling out other causes needs an actual examination.