Will having deformed sperm on a guy's sperm analysis increase the chances of a deformity in his future baby?

No: Deformed sperm typically result in an "all or none" phenomenon. That is, a woman may not get pregnant or, if she does conceive, the pregnancy may fail. Deformed sperm will not generally result in a deformed baby. Having said that, it's not normal to have a high percentage of abnormal sperm, so the man should undergo further investigation to optimize the odds of pregnancy success.

Probably not but ...: Men with low morphology (% of normal-shaped sperm) can have more genetically abnormal sperm. Morphology testing is far from a perfect test but may mean that you need more workup or can change fertility treatment recommendations. More genetically abnormal sperm increases the chance of miscarriage or chromosomally abnormal pregnancy, but not common birth defects.

Deformed sperrn: I presume that you mean a morphological deformity such as two tails. These types of morphological or structural defects may not have anything to do with physical defects in a child. It is most likely that very abnormal sperm will not be able to reach an egg and fertilize it, and so the question is moot.