Hi Daria,
Tusshar has suggested an apt solution for your issue. You can go ahead and implement the required notes and your issue should be resolved.
Alternatively, you can copy the standard reports and create new ones using the report painter functionality. Once you have done that, for each of the columns in the report you can change the currency from Controlling area currency to Object Currency/Transaction Currency in the report form.
Transactions CJE1 through CJE6 should help you doing that. You can even have custom tcodes to run these copied reports For e.g. you can name the report S_ALR_87013531 as Z_S_ALR_87013531
Try it once and let us know.
Best Regards,
Gokul