With regedit, look into the registry key of the service.

When the startup type of the service is set to “Automatic (Delayed start)”, the value of DelayedAutostart is set to 1

HKLM\SYSTEM\CurrentControlSet\services\<service name>\DelayedAutostart

To increase the default delay of 120 seconds, right click the registry key and add new key AutoStartDelay (DWORD (32-bit)

HKLM\SYSTEM\CurrentControlSet\services\<service name>\AutoStartDelay

Its value can be set to decimal 240 for example.