I woke up in the middle of the night with both eyes burning with lights out and eyes closed?

Hi Funky,
I agree totally with Susanne’s answer.
Eye pain is always dangerous until you see your doctor to determine cause.
Don't wait to see if it goes away.
It will take a few days to feel better WITH treatment.
Untreated can lead to blindness.
My experiences:
I wore hard contacts since I was 12.
I've had corneal abrasions from them.
You will know. Pain! Blurry, Tearing. You have to stay in a dark room and extra dark sunglasses going to the doctor. They will see you as an emergency.

Detached Retina - that was fun!
Symptoms: increase and darkening of floaters a few days prior. Near sighted people are prone to this as we age. I started having double vision. If you question it then go out at night and you will see 2 moons easily.
Halos around any light source.
No pain but discomfort.
During this time, I was bending over and picking up heavy boxes which IMHO was the cause.
A few days later after considering it to be “all in my head” things changed.
I felt like my inner peripheral vision was blocked by my nose. Next I saw a curtain closing so increase in blind spots. This IS an emergency requiring surgery. Covid had just started so I had to wait a week.
Surgery was no big deal.
However, the recovery was not what I expected! You have to remain face down at all times for a week. I have not slept on my stomach in 20 years!
Important - rent a piece of medical equipment before the surgery. It is a padded bench with a face cut out like massage therapist use. I don't know if I could have managed 24/7 x one week.go to a retina specialist. They will be able to tell you where to get the equipment.
If I walked to the bathroom, I had to look down at my toes.
Next 3 weeks I could only stay on my right side. After that... All better.

Iritis - see corneal abrasion. However, there was no abrasion! The Opthamologist gave me scripts for antibiotics and steroid drops. A new intern told me (on the side) it may be a neurologic condition developing. Thank goodness for the new guy because 10 years later after 10 different specialist I was diagnosed with MS. This was 5 days before getting married on the beach! I couldn't leave a dark bathroom at that point. I called my Primary and begged for Tylenol with codeine. It worked and I'm still married. Lol...

Cataracts - My vision was getting worse. I kept switching between contacts and glasses and still couldn't see the TV. Doctors were surprised at the speed it was happening from one visit to another.
Halos-yes. Pain-no. Mild light discomfort - yes. Vision blurry and cloudy grey all of the time. Colors changing esp with bright ones.
Go to a Cornea specialist for the surgery.
I just got a call from mine for surgery Tuesday. I had to cancel (gulp) because I've been living in a home with mold! We just had it tested and it is positive for a variety including toxic black mold. I could see them in my eyes. I took a pic on my iPhone to prove I'm not nuts. Surgeon didn't want to even look at them! Time now for a new doc or two. I'm going to Mayo.
Please pray for me! I'm now legally blind and mistook my black purse on the floor for my little Yorkie. He gave me the evil eye when I grabbed and lifted him by the leg. :-)
Moral of the story...
Don't take your eyes for granted. They repair themselves quickly but can go downhill quickly.
They also reflect unknown diseases.
If Pain see your doc ASAP.
:-)
Sorry for all the words but using my phone 2” from my face is all I can do right now. Especially... Housework!
Be well.
;-)

The sensation of burning eyes is generally a symptom of another problem, such as dry eye, an eye infection or allergies. With your description it could be a keratitis which is an infection of the cornea. The cornea is very sensitive so any mild problem could cause this discomfort. A lot of these infections are viral and not serious but can be very uncomfortable. .The other possibility is that it could be acute dry eye, and you may need to use lubricating eye drops. Your eye would need to be examined by a doctor or optometrist to get a firmer diagnosis. For more information see:
https://www.drugs.com/health-guide/keratitis.html
https://www.drugs.com/health-guide/dry-eye-syndrome.html
https://www.drugs.com/health-guide/pinkeye-conjunctivitis.html