You remind me of my sister. She, too, was not a morning person. It was made worse by the fact that not only was I a morning person, but I am a happy morning person. Hop right out of bed, greet everyone with a smile and am cheerful. Go ahead, hate me. It will work up some energy so you won't feel so tired!
Seriously, the effort you're putting into this is commendable. If I'm understanding this correctly, you're working out in the morning and in the evening. And if you're not a morning person, that probably means you don't go to bed until late at night. No wonder you're exhausted. And you're working. Sounds like your candle is lit at both ends and in the middle. Obviously you have to be the judge of what works best for you. But getting adequate sleep has been shown to have an impact on weight loss; i.e., if you don't get enough sleep, it contributes to weight GAIN. If you're doing an afternoon workout, maybe the extra sleep in the morning instead of working out would actually be more beneficial.
Just some thoughts. I'm retired so I'm always well rested, but I remember clearly going years feeling exhausted from not getting enough sleep and trying to be super woman. In looking back on it, I wish I'd been more like others who put themselves at the top of their lists!