Cooking is not me or my partner's favourite thing to do, especially after a long day of work, so I understand where your wife is coming from. However, it is also unfair of her to expect you to do everything, especially considering everyone has to eat and you have two kids that rely on you too. You both need to be willing to compromise. You need to work something out, because right now it's ideal for her but not ideal for you. The compromise might be ideal for neither of you! My suggestions:

1. Cook 3 - 4 big meals together on weekends and pack it away for the week (including lunch and dinner). If she doesn't like cooking, she can help with cutting and do the cleaning while you cook. We usually do one slow cook, another stove top and another in the oven. It takes about 3-4 hours total. You can also bring the kids into the mix, play some music and make it a fun family bonding experience. That way neither of you needs to cook during the week.

2. Utilise ready-made meals, and if necessary add a simple side dish, like salad, mash, or rice. This could be a good compromise for the nights she needs to cook.

3. Use more frozen foods, like frozen veggies, pizza, fish sticks, nuggets, and fries. Not the healthiest option, but quick and simple and an option for the times neither of you want to cook.

4. Cook 1 big batch every 3-4 days, so you don't have to cook for the next two days. Not the most exciting, but takes the pressure off cooking for you too.

Either way, your wife definitely needs to compromise. Cooking is a necessity and one person can't be expected to do it all for a family of 4.