M.K.
This is tough. IMO, it has more to do with the "quality time" that a Father spends with his son than with showing them how to cook and clean. My Father In Law is much older (in his mid-70s) and is truly "old school." He told me that he never changed either of his son's diapers once, never bathed them, never cooked or cleaned -- this was "Woman's Work." However, my husband is one of the most involved Fathers of almost any family we know. I think it's because my FIL was an excellent role model about family values, respect, and the importance of spending time together as family. He always made it home every night to sit down and have dinner as a family. He always spent time dedicated to the family on the weekends. As the boys got older, he spent time teaching them skills to help them later in life (fixing a toilet, changing the oil on the car, etc.) as well as teaching them some of his favorite hobbies (fishing, camping, etc.)
If you were to hear my FIL talk, you would never believe that his son (my DH) could be such an equal partner for me across ALL the family tasks, chores and child-rearing. But it happened. Your boys are young right now, but it's time to find activities that Dad can do with the boys. Maybe the first step is turning of the tv for just an hour an evening and doing something together -- a walk outside or wrestling on the floor. Maybe your husband could think of something he likes doing in which he could include his sons to watch or participate. (Fly a kite? Bowling? Fixing the car?) Maybe it's simply watching the big game on tv together -- but talking to the boys about the rules and explaining what they are seeing. I don't know if any of this is helpful. I wish you the very best.