"I looked up to you more than anyone on this earth and I will never stop looking up to you," Lingo wrote.
"Missing everything bout you specially that smile," the "Clout" rapper wrote.
Offset's post marks the first time he has publicly spoken about his cousin's death.
The family asks that donations be made to The Rocket Foundation in lieu of gifts or flowers.
Multiple solo and group albums by the rapper reentered the Billboard 200 chart following his tragic murder.
The Migos rapper will be laid to rest in his hometown on Nov. 11.
"Go make a couple changes and address everything, all artist make the best music out of painful moments."
"Senseless violence and a stray bullet has taken another life from this world and we are devastated."