None of the combiners in the attached model seem to actually have the reset code set. So none of the should be updating when you change the table values.
A combiner has two nodes in its attribute tree that govern how many items are received through each port (starting at rank 2, port 1 always only receives the container item) before the process starts.
Those are the "componentlist" and the "targetcomponentsum" (marked yellow in the screenshot below).

The componentlist represents the list you see in the combiner's properties. The value is stored in the "Target Quantity" node (pink)

As such it posesses a subnode structure that can be accessed as a table. The level below the main node represents the rows ("From Input Port 2") and the subnodes of those are the respective cell values (Target Quantity, Current Quantity (not shown in the properties)).
The "targetcomponentsum" is the total sum of items received through all ports. Since there is only one port (port 2) that will receive items, the value of the this node and the "Target Quantity" in the component list are the same.
The code first gets references to the these two nodes. It then assigns the value from the global table to "targetcomponentsum" and "Target Quantity", depending on the name of the object that is executing the code (the combiner).
The code to assign the values comes from older versions of FlexSim. The same can be done with the following using the newer dot-syntax.
// Read the target quantity from the global table
int qty = Table("Combiner_Quantity")[current.name][1];
// Get reference to the "componentlist" node as a table class variable
Table thelist = getvarnode(current,"componentlist");
// Get reference to the "targetcomponentsum" node
treenode thesum = getvarnode(current,"targetcomponentsum");
// Set the "Target Quantity" through port 2 (first row, first column) to be equal to the table value
thelist[1][1] = qty;
// Set the value of "targetcomponentsum" to be equal to the table value
thesum.value = qty;