Change and Sort list in list in specific order in python

You need for-loop with if/else to run different code for different lists.

For list with "PRODUCT NAME PACK" you have to keep list with names in variable - so you may use it in next loops when you get list with numbers

For other list you can keep first number as index and rest use in zip(names, numbers) to create pairs (name, number) which can be used to create [index, name, number]

array = [
    [
        "PRODUCT NAME PACK",
        "BAIGAM KOT",
        "FIAZ BAGH",
        "OLD ANARKALI",
        "SULTAN PURA",
        "TEZAB AAHATA",
        "GHORAY SHAH",
        "KOT KHAWAJA SAEED",
    ],
    ["002188", 0, 0, 0, 0, 0, "2", "3"],
    [
        "PRODUCT NAME PACK",
        "BAGHBAN PURA",
        "GAWAL MANDI",
        "OLD ANARKALI",
        "MAYO HOSPITAL",
        "GARHI SHAHU BAZAR",
        "BILAL GUNJ",
        "LADY WELLINGTON HOSPITAL",
    ],
    ["002188", "3", 0, 0, 0, 0, 0, 0],
    ["008999", 0, 0, 0, 0, "1", 0, 0],
    ["012961", 0, 0, 0, 0, 0, "3", 0],
]

# --- convert ---

result = []
#names = None  # default value at start  

for data in array:
    if data[0] == "PRODUCT NAME PACK":
        names = data[1:]
    else:
        index = data[0]
        numbers = data[1:]
        for name, number in zip(names, numbers):
            result.append( [index, name, number] )
            
# --- display ---

for item in result:
    print(item)

Result:

['002188', 'BAIGAM KOT', 0]
['002188', 'FIAZ BAGH', 0]
['002188', 'OLD ANARKALI', 0]
['002188', 'SULTAN PURA', 0]
['002188', 'TEZAB AAHATA', 0]
['002188', 'GHORAY SHAH', '2']
['002188', 'KOT KHAWAJA SAEED', '3']
['002188', 'BAGHBAN PURA', '3']
['002188', 'GAWAL MANDI', 0]
['002188', 'OLD ANARKALI', 0]
['002188', 'MAYO HOSPITAL', 0]
['002188', 'GARHI SHAHU BAZAR', 0]
['002188', 'BILAL GUNJ', 0]
['002188', 'LADY WELLINGTON HOSPITAL', 0]
['008999', 'BAGHBAN PURA', 0]
['008999', 'GAWAL MANDI', 0]
['008999', 'OLD ANARKALI', 0]
['008999', 'MAYO HOSPITAL', 0]
['008999', 'GARHI SHAHU BAZAR', '1']
['008999', 'BILAL GUNJ', 0]
['008999', 'LADY WELLINGTON HOSPITAL', 0]
['012961', 'BAGHBAN PURA', 0]
['012961', 'GAWAL MANDI', 0]
['012961', 'OLD ANARKALI', 0]
['012961', 'MAYO HOSPITAL', 0]
['012961', 'GARHI SHAHU BAZAR', 0]
['012961', 'BILAL GUNJ', '3']
['012961', 'LADY WELLINGTON HOSPITAL', 0]