Hi Marius,
How you are pass your data to local storage?
If you want to sort an array/list. you can use .sort function.
for example:
var SORTKEY = "someSortKey";
var DESCENDING = true;
var GROUP = false;
var oList = this.getView().byId("someList");
var oBinding = oList.getBinding("items");
var aSorter = [];
// you may use foo.bar.CustomSorter instead:
aSorter.push(new sap.ui.model.Sorter(SORTKEY, DESCENDING, GROUP));
oBinding.sort(aSorter);
refer from: xml - How to set sorter of a List in Controller in SAPUI5? - Stack Overflow
Thanks,
Karthik A