25g of carbs each day is very low especially since you are training so frequently, doing cardio and running after a little one on top of all that. You must be one tired mom! How long ago did you have your baby?
Don't worry about your stomach still being "mushy" it will take some time for your body to get back to normal after giving birth and take it slowly when you are starting to train abs again.
I would recommend to you the same supplements I used after having my boys. Since you are currently doing very low carbs I would slowly start to add some more into your diet because you need these for fuel and recovery. The rest of your diet can be adjusted accordingly to accommodate them. Your best option is to use Plazma during your workouts. Start with 1 servings and sip it throughout your workout, it will give you the nutrition you need to keep intensity high during the workout and aid in your recovery... I also find that it keeps my energy levels high for the rest of the day and I definitely need! Indigo3G is another one of my favorites, you can take 6 capsules of this preworkout (before you drink your Plazma) and it helps you absorb and utilize the nutrients from the Plazma. I experienced very dramatic body composition changes while using these together and lost fat much faster than expected postpartum.
Hopefully this helped you a bit. Good luck!!