Cyst in ovary can be due to pcos or any other condition. It should be diagnosed properly to see its impact on the fertility. Also, if you have asthenozoospermia then you may require ICSI or TESA or sperm donor along with IVF to conceive a baby.
Both you and your wife have issues. You can opt for IVF ICSI procedure to have a successful pregnancy. If this does not work then TESA will help. In more severe cases, donor sperms of good quality are the last option. Just don't wait for long and get treated with the best solution among this.