Oh, so you want to send for example, "Object15, Object57, Object58, Object60...", and you want to increase counters for these objects in the table?
I don't know how to lookup data in the table, but if all these 200 objects are in rows 1 through 200, you can send row numbers as url parameters:
https://script.google.com/macros/s/...../exec?obj1=15&obj2=57&obj3=58&obj4=60...
In the script you loop through 10 parameters, extract row numbers and increment the counters:
var nextRow = 0;
for (var i = 1; i <= 10; i++) {
nextRow = Number(e.parameter["obj"+i]);
sheet.getRange(nextRow, 2).setValue(Number(sheet.getSheetValues(nextRow, 2, 1, 1))+1);
}