Search in related list

Search in related list

Hello, 

Can you help me with one issue? 

I've created custom module "Payment plan" with field "Number" and lookup fields ('Accounts" and "Invoices"), and added this module as a related list to these default modules. 

So I can add items from "Payment plan" within Invoice card. But when I open modal window to add items, I can't search in any fields except "Number", but more convenient would be to search in other fields, for example in Account or invoice.

Can I do this in any way?

Screen capture to illustrate: