Welcome to GMT Nation...
Your description of the "Broken Off" component is a bit ambiguous... so if possible, please Post an image or two of what you can see that we need to see as well. This Video shows the Evacuation-Re-Fill Procedures (
Better to use the HF 2.5-3 CFM Vacuum Pump):
If the issue is
'Where to attach the Low Pressure Evacuation and Charging Line through the "BLUE" Manifold Gauge Hose-Connector?" ... This is an image of that locale. The Low Pressure Return Vapor (ONLY Fill...) Line is fitted into the upper rim of the HVAC Accumulator as an EZ2 Access Port for your Low Pressure
(BLUE) A/C Manifold Gauge Hose Connector:
The High Pressure Liquid Line (NEVER Fill...) runs from the HVAC Condenser near the Passenger side Radiator area and runs along the upper wheel well to the High Pressure Liquid Line IN Port Manifold leading into the A/C Evaporator. Attach your A/C High Pressure
(RED) Manifold Gauge as shown in the Video and this Photo:
This image of the Evaporator shows where the High and Low Lines enter and leave the Evaporator near the Upper Passenger Side Firewall: