3376016 - "EG6" No background processing active on target server

It's not able to start/modify jobs from third-party software, the following logs can be seen on SAP system side:

sm21:
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BGZ BP_JOB_MODIFY:Cannot modify job; reason
EGA > Job XXXXX contains invalid data 
EGZ BP_JOB_MODIFY: Cannot modify job XXXXX; reason:
EG6 > No background processing active on target server <HOST>_<SID>_<Ins.No> 

rz15:
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BAPI_XBP_JOB_START_ASAP UTC time: XXXX    XBP      
BAPI_XBP_JOB_START_ASAP sy-mandt: 100    XBP         
Job = <job XXXXX>    XBP         
Targetserver = <HOST>_<SID>_<Ins.No> Targetgroup =     
ERROR ! message type = E     
Invalid target server     

SAP ABAP System

SM37 job target server system initialization timing , KBA , BC-CCM-BTC-JOB , Job Scheduling and Monitoring , BC-CCM-API-CSI-XBP , eXternal Interface for Background Processing , Problem