BE55 flight crew reported near midair collision and airspace violation during training flight.

Attributes
ACN	1677178
Time
Date	201908
Local Time Of Day	1801-2400
Place
Locale Reference	ZZZ.Airport
State Reference	US
Environment
Flight Conditions	VMC
Light	Daylight
Aircraft 1
Make Model Name	Baron 55/Cochise
Operating Under FAR Part	Part 91
Flight Phase	Final Approach
Flight Plan	VFR
Aircraft 2
Make Model Name	Cessna Aircraft Undifferentiated or Other Model
Person 1
Function	Instructor Pilot Not Flying
Qualification	Flight Crew Air Transport Pilot (ATP) Flight Crew Instrument Flight Crew Multiengine Flight Crew Flight Instructor
Experience	Flight Crew Last 90 Days 300 Flight Crew Total 8900 Flight Crew Type 10
Person 2
Function	Pilot Flying
Qualification	Flight Crew Multiengine Flight Crew Private Flight Crew Instrument
Experience	Flight Crew Last 90 Days 25 Flight Crew Total 4500 Flight Crew Type 2600
Events
Anomaly	Airspace Violation All Types Conflict NMAC Deviation - Altitude Excursion From Assigned Altitude Deviation - Procedural Clearance Deviation - Procedural FAR Deviation - Procedural Published Material / Policy

Narrative:

Flight student owns a be-55 baron. While accomplishing an ipc and BFR; a near miss occurred at ZZZ ILS xx on short final. Be-55 was short final; straight in on the ILS xx. At the same time a small cessna turned left base to final for runway xx. Be-55 took evasive action to avoid hitting the cessna on final. After leaving area; be-55 student was given a simulated left engine failure at 3;000 MSL; but dropped down into ZZZ1's airspace. Flight instructor was unable to assist in taking action due to the throw-over yoke or communicate with ATC due to the microphone switch being attached to the throw-over yoke.

Original NASA ASRS Text

Title: BE55 flight crew reported NMAC and airspace violation during training flight.

Narrative: Flight student owns a Be-55 Baron. While accomplishing an IPC and BFR; a near miss occurred at ZZZ ILS XX on short final. Be-55 was short final; straight in on the ILS XX. At the same time a small Cessna turned left base to final for runway XX. Be-55 took evasive action to avoid hitting the Cessna on final. After leaving area; Be-55 student was given a simulated left engine failure at 3;000 MSL; but dropped down into ZZZ1's airspace. Flight Instructor was unable to assist in taking action due to the throw-over yoke or communicate with ATC due to the microphone switch being attached to the throw-over yoke.

Data retrieved from NASA's ASRS site and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.