Hello, I'm Dr. Deb and will do my best to help you today.
I'm sorry for this injury which has happened to your dog but accidents do happen; I hope you're not feeling too bad about this since it wasn't intentional.
It sounds as if there's irritation secondary to the injury which should resolve in a few days. There are a number of acceptable otc eye medications which can be used for him which I'll list below. If you have human eye drops, let me know what they are and I can tell you if they're safe.
The Systane products which are listed can be used in dogs, but the ones with vasoconstrictors, such as naphazoline should be avoided. These products are labeled as "taking the red out" or for "red eye".
Tears Naturale Nighttime
Systane Ultralubricant sterile eye drops
Advanced Eye Relief Nighttime
Akwa Tears ointment
I dose 3-4 times a day for 7-10 days although he may respond sooner.
As for the small laceration or injury to the lid, I'd gently clean this with warm water or sterile saline but it should heal just fine on it's own.
It the eye itself continues to remain red or if a green/yellow discharge should develop and/or he squints or keeps the eye closed, then a vet visit may be prudent.
I hope this helps. Deb