This is a formula method.
Because you will not be changing all the values and I assume you want to keep those that do not have a match, then in an empty column next to the figures on sheet 1 put the following formula:
=IFERROR(INDEX(Sheet2!F$3:F$7,MATCH(1,INDEX((Sheet2!$D$3:$D$7=$A3)*(Sheet2!$B$3:$B$7=$C3),),0)),G3)
Then copy over one column and down the the end of the data.
The INDEX((Sheet2!$D$3:$D$7=$A3)*(Sheet2!$B$3:$B$7=$C3),) will create an array of 0 and 1's the same size as the data reference on sheet 2. In this instance it will create a 1 dimensional array that is 5 objects.
The position of these objects of 0 and 1 are relative to the rows. So for the first formula the return array will be {0,1,0,0,0} because only the second row of the data matches both the plant and the part number.
The MATCH(1,INDEX(...),0) then finds the first object in that array that is 1 and returns the relative position, in this case 2 as it is the second in the array.
The Outer INDEX(Sheet2!F$3:F$7,...) then returns the value in the range Sheet2!F$3:F$7 whose relative position is equal to the 2 passed from the MATCH(). So Sheet2!F4.
If no MATCH is found then the whole thing will throw a #N/A error so we capture that error with IFERROR(...,G3) and tell the formula to return the value in column G instead.
This will give you all the proper values:

Then you can copy and paste just the values back to the original spots and hide the columns with the formulas:

Sheet2 for reference:

If you want vba to do the last part of copy and past and hiding then use the macro recorder and then clean up the code.