In your OP, you said that there was no sound coming through the front panel earphone jack. It wasn't clear to me whether this was only while using Audacity to record or whether you have tried listening to an audio CD or audio stored on HDDs. If the former, try listening to some other sound source using your headphones or earplugs without using Audacity - try Windows Media Player or iTunes. If you get sound, then you know that your front panel audio jack is working.
Having said that, I looked up your motherboard (mobo) layout on the AS>Rock site and found where the front audio cable should plug into your mother board. Here is a screenshot:
In this diagram, the left hand side is the rear of your system. The connector labelled in this diagram as '23' (circled in yellow and highlighted in description) is where the cable that runs from the front panel phone jack should be plugged in.
If the cable is properly and firmly connected, and you still get no sound in your earphones playing audio files from Windows Media Player, I suggest that you have a hardware problem because I don't think you have a BIOS setting that would affect it. If you must call again on your tech person, get more definitive information about the specific BIOS setting and if he cannot, then he owns a hardware problem, IMO.
All of the latter assumes that changing Audacity settings doesn't solve your stated problem of being unable to monitor recordings as they are made.
Hope this helps.
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Bob's yer Uncle!
Intel Core i5, 3570K, 3.40 GHz, 16 GB RAM, ECS Z77 H2-A3 Mobo, Windows 7 >HPE 64-bit, MS Office 2016