CAR CUT OUT & FAILED TO START AGAIN

Toyota Yaris engine warning light - this light will stay illuminated if there is a malfunction within the engine after start up - we would advise you to use the Toyota i905 iCarsoft kit to diagnose the engine problem, the kit will also clear the codes & reset the dashboard light. You might need to replace your MAF sensor because of this warning light, if so you should visit www.bavariandominator.co.uk for a replacement.
Yaris Mk2 dash lights

Try getting a friend to boost start your battery with his vehicle and see if your car will crank. If your car cranks over - you have a faulty battery.

Check your battery leads, particularly the black earth lead where it connects to the engine/bodywork.
It's worth pointing out that a failed battery will charge up to a certain extent - however there isn't sufficient power in that battery to crank the engine even though all your dashboard lights are illuminated.
Get somebody to try boost-starting your battery first.

If you're sure that your battery is ok (or if connected to another vehicle): Put your ignition key in and turn it on/off a few times. Leave it in the 'on' position for 2-3 minutes. Give the system time to re-recognise the key

It actually sounds to be battery problem
jump start vehicle Google Search

Before you start it cold, prime the fuel pump twice or three times. Lets make sure you have adequate pressure.

If you need further help, reach me via phone at https://www.6ya.com/expert/chris_b82b45c59bcf133d

Your no start condition is either lack of fuel(doubtful since it used to restart) or no spark. No spark could be from a failed crankshaft or camshaft sensor.

since the car is a 2010, take it to a dealer. should be under warantee if its a 2010 with less than 36kmiles.

on the backside of the alternator there should be a large black/grey wire. check to see if there is battery voltage on that wire. If there is not than you have a blown fusible link that is inbetween that wire and the battery. If there is power there than check for power on the dark green with dark blue wire. There should be power anytime the engine is running. If there is no power than there is a problem with that wire in between the alternator and the ASD relay.

Check those two out and let me know what you find.

I’m happy to assist further over the phone at https://www.6ya.com/expert/jeremy_d728a59f986299fa

You need to get a digtal voltage meter (about $15) and check it out yourself-readings at the battery should be 12.5 volts after sitting overnight. Once you start it, the readings at the battery terminals should go up to almost 15 volts when first started, then gradually drop down to around 14.2 volts-I would bet either your battery is bad, or your battery is bad and your alternator has failed trying to supply power to a bad battery-either way, your mechanic should not have allowed the battery light to stay on after changing out the alternator without finding out what was wrong-he did not fix it.

first job is to check the part load and main beather hoses are ok the stability system light may be a false indicator if the engine has stalled best is to get fault codes out of the ecm with a code reader to help but air leaks on the engine inlet side can cause strange/seeming unrelated symptoms

Is it a U shaped light with an exclamation in the middle? It's low tire pressure

I found this on a website try this

1. Put the newly cut Master key into the keyway and turn it to the ON (RUN) position. A "security" indicator
light on the dashboard will stay on for 10 minutes.
2. Within 1 minute after the indicator light goes off, turn the ignition to "OFF", then return to the ON (RUN)
position. The indicator light again will stay on for 10 minutes (Do not remove the key.)
3. Again, within 1 minute after the indicator light goes off, turn the ignition to "OFF", then return to the ON
(RUN) position. The indicator light again will stay on for 10 minutes. (Do not remove the key.)
4. When the light goes off the third time, the new key is programmed into the computer and will start
the car. Remove the key and then re-insert it into the ignition lock and start the car.
All previously stored codes will be erased. To stop the process at any time, simply remove the key and use
an existing key to start the car.