2007 chevy equinox codes p0700 &p0705. van goes into limp mode what is the problem?

code p 0705 refers to transmission range (TR) sensor /switch--PRNDL input--circuit malfunction====causes --wiring---TR sensor /switch
replace the TR unt

Here's the link and I'm sure you will get the solution of your problem
Jeep Grand Cherokee Service Repair Manual 2005 2006 2007 2008

clearing codes wont correct the problem and limp mode is designed to protect motor and transmission - p0700 is a transmission problem
P0700 Transmission Control System Malfunction p0340 is camshaft position sensor malfunction
https://www.obd-codes.com/p0340 p0344 is also a camshaft position sensor circuit problem
P0344 Camshaft Position Sensor Circuit Intermittent your p430 is a cat converter problem
https://www.obd-codes.com/p0430 and p0888 is transmission relay problem these reasons are limp mode the knock can be fuel not burning correctly or a lower engine knock can mean you damaged a piston

P0700 Transmission Control System Malfunction
P0765 Shift Solenoid D Malfunction
Clear fault codes and see if it comes back, if so,check wiring and plug for bad connection.

EOBD II Error Code: P0705
Fault Location:
Multi-Function Transmission Range Switch - Malfunction (PRNDL Input) - Implausible Signal
Possible Cause:
Wiring/Connectors from/to Multi-Function Switch faulty.
Multi-Function Switch faulty.
Engine control module (ECM)/Powertrain control module (PCM)/Transmission control module.

Possible Solutions:
Check Wiring/Connectors from/to Multi-Function Switch.
Check Multi-Function Switch.
Check Measuring Value Blocks.

You got the code

Go to the internet (Google)

Type: 2007 Toyota Yaris OBD PO705

either fit a manual gearbox or change the control computer for the autobox,no work then do what i did and buy a old van and do kerbside mechanics better than nothing , i know when its raining and cold but at least you will earn a living and buy your spares from a autofactor and not a corner shop

Both codes are for transaxle problems.

#p0705 the on board computer is not receiving any input from the Transmission Range sensor.Check wire harness and plugin at sensor for any damage or maybe it just came unpluged.If no damage could be found and it was pluged in propperly, then replace the sensor. Good Luck and have a good XMASS.

Since this vehicle does have a possible reprogramming issue, before I spent any money on parts, let them hook their scanner(in this case it going to be the tech 2 with downloadable info from a mainframe to reprogram) and see if there are any other under lying codes or info. What this means is that they have the ability to read and interpret live data to pin point the issue. the code may be merely a reference point. There may also be a TSB regarding this issue. Start at the dealer, then work on replacement of parts. Always start with information first. Sometimes we are suprised by what we find. Let me know what they say and if you need anything else.