Skin consists of two layers which we know, one is dermis and other is epidermis. Laceration is a medical terms to describe a cut. Sometimes this cut or wound traumatically damage both layers (dermis and epidermis).
When the cut damaged the skin’s below surface then it is termed as Laceration. Like you know in some cases the cut damages go deeper to skin, this is termed as Puncture. (source: sharecare.com)
Minor cuts can be treated at home, wash the area with water and mild soap, apply pressure with a soft and clean cloth to stop bleeding. Then apply antibacterial ointment.
If it’s not treated Laceration or Puncture they turn to sever wounds causing pain.