Thanks for writing here.
You have devoloped skin allergy
to skin lite.
It contains tretnion and hydroquinone
which can cause skin irritation.
Applying this cream at day time can also worsen the condition.
Avoid sun as far as possible.
Avoid soap and other cosmetics over face.
Wash with only cold water.
Start applying steroid cream.As you want fast results you can use mometasone
Apply it two times daily.Use it for a week or so.Longer use will cause side effects like pimples ,skin atrophy etc.
You can consult a dermatologist
for further treatment for hyperpigmented lips.
I hope this will solve your problem.Take care.