Have a look at Job Export REST API https://docs.splunk.com/Documentation/Splunk/8.0.1/RESTREF/RESTsearch#search.2Fjobs.2Fexport and old answer https://answers.splunk.com/answers/596185/doing-search-through-rest-api-using-postman-giving.html
I don't have postman installed so can't give you postman example but if you look at documentation https://docs.splunk.com/Documentation/Splunk/8.0.1/RESTREF/RESTsearch#search.2Fjobs.2Fexport, they have provided below example
curl -k -u admin:password https://splunkserver:8089/services/search/jobs/export -d search="savedsearch \ MySavedSearch%20host%3Dwolverine*"
Additionally have a look at https://docs.splunk.com/Documentation/Splunk/8.0.1/RESTTUT/RESTsearches
but anyway, im getting an error:
this is my command:
curl -k -u admin:1qaz@wsx https://localhost:8089/services/search/jobs/export -d search="savedsearch \ DeletedLuckyCart"
this is the error :
Error in 'savedsearch' command: Unable to find saved search named '\'.