Why don't my 2005 ford focus windshield wipers don't shut off once they are turned on

Looks like a Body Control Module communication issue.

Windshield Washer
When the washer switch is pulled towards the driver, the SASM sends the washer request to the BCM over the LIN. The BCM activates the windshield wash relay (internal to the BCM) and sends a message to the driver side windshield wiper motor. When the BCM activates the windshield wash relay, voltage is provided to the washer pump, directing washer fluid to the windshield. When the switch is released, the windshield wiper motor continues to activate the windshield wipers for 3 additional wipes and then turns the windshield wipers off.

https://www.justanswer.com/ford/74red-focus-2012-ford-focus-se-need-wiring-diagram-washer-pump.html

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Hi Justin , Do you know what a SJB - smart junction box is and where it is located on you escape ?
Windshield Wiper Operation
The smart junction box (SJB) supplies power to the multifunction switch from the SJB fuse 25 (20A) when the ignition switch is in the ON or ACC position. The multifunction switch supplies power to the windshield wiper motor for the HIGH or LOW/INTERMITTENT input, depending on the multifunction switch position selected. The SJB also supplies power directly to the windshield wiper motor from fuse 25 (20A) when the ignition switch is in the ON or ACC position for RUN/PARK operation. When the multifunction switch is in the LOW, HIGH, or INTERMITTENT position, power is supplied to the windshield wiper motor, which moves the wipers off the park position. Once the wipers are off the park position, an internal switch in the windshield wiper motor switches to the run/park position which directs power to the wiper switch then back to the wiper motor. This maintains power to the windshield wiper motor to complete the wipe cycle. When the cycle is complete, the internal switch in the windshield wiper motor switches back to the park position. If the multifunction switch is in the LOW or HIGH position, power is supplied from the multifunction switch and another wipe cycle starts. If the multifunction switch is in the INTERMITTENT position, the windshield wipers remain parked until the internal relay in the multifunction switch supplies power to the windshield wiper motor. The internal relay supplies power after a time delay that is determined by the 1 of 9 intermittent switch settings.

The relay should be attached at the fuse box under the hood.

Your wiper linkage has come off the wiper motor. To reconnect the linkage, first remove the wiped arms, the remove the wiped cowl. The wiper cowl bolts are located under the hood and screws through the spaces in the cowl. Reconnect linkage, reinstall cowl, reinstall wiped arms.

Check where the pivots attatch to the wiper arm. There is a plastic cap you remove and under it is a nut, and if it's loose, you need to get the wiper motor to park...by turning on the wipers, and then off and wait untill it sounds like it has stopped. Then place the wiper arms to where they belong parked, and tighten the nuts.

The problem is the wiper motor. There is a TSB on this situation

sounds like wiper control stalks, i am in the uk and it is quite a common fault on the focus

get it down to the gararge to get checked out !!!!

check the fuse, if its ok youre gonna need a new pump.

I just solved this problem last night with my '05 Impala, and ultimately the solution was what newton5083 stated above.  Yet, it may also be this (I found it online somewhere):
You have bent or broken the "park tab" on the windshield wiper motor bracket. The correct way to fix this is to remove the wiper arms, wiper linkage and wiper motor from the wiper motor bracket, and install a new bracket.
I just bent the tab back into place a couple times for our daughters 2005 Impala but it kept getting bent down again when they didn't take the time to make sure the wipers were not frozen to the windshield, or tried running the wipers to remove heavy snow on the windshield. So yesterday I fabricated a small piece of metal and bolted that to the bracket in the same place the tab stop was.
If someone wants to access this bracket and tab-
1. Use a ½ inch or 13mm socket & ratchet or wrench to remove nuts on wiper arms.
2. They may make a special tool to remove the arms, I used a screwdriver and hammer to tap bottom of the arm to wedge them apart from the spindle.
3. Two small button-looking clips hold the drivers side cowl cover in place under the windshield. These are two-piece clips, pry up the center, than the outer piece.
4. Unclip the washer hose from cowl cover, than pull out plastic cover.
5. There is a smaller plastic cover with on plastic button head holding that cover in place. Gently pry under that clip to remove that cover.
6. Now you can see the wiper trans and bracket. You should see a small tab on that bracket that looks pushed down and bent or possible a square small hole with some torn off metal where the tab broke off.
7. Remove small plastic cover over the wiper transmission and you can see a small spring-loaded arm underneath the wiper transmission assembly.
8. You need to find something to pry that tab back up so when the wipers are running that spring loaded little arm just snaps past the tab running clockwise. It's when you shut off the wipers that the wiper transmission assembly reverses rotation counter clockwise and the small spring loaded arm underneath hits that tab stop, than the wipers will go all the way down and shut off as they should.
Once that tab stop gets bent out of the way the little spring loaded arm has nothing to stop the wiper transmission assembly so it keeps traveling counter clockwise until some other stop shuts the wipers off straight up on the windshield.

There is a revised bracket part # which is supposed to be more durable, GM part #12368639. Here is a copy of the TSB which points out this problem:
Bulletin No.: 05-08-43-003A
Date: March 10, 2005
TECHNICAL
Subject:
Windshield Wipers Park in Up Position (Replace Windshield Wiper Motor Bracket)
Models:
2005 Chevrolet Impala, Monte Carlo
Supercede:
This bulletin is being revised to make a correction to the Parts Information. Please discard Corporate Bulletin Number 05-08-43-003 (Section 08-Body and Accessories).

Condition
Some customers may comment that the windshield wipers park in the out wipe (vertical) position.
Cause
This condition may be caused by a bent park tab on the windshield wiper motor bracket.

Correction
To correct this condition, replace the wiper motor bracket. It will be necessary to transfer the following parts listed below to the new bracket.
^ Wiper transmission
^ Wiper motor crank arm
^ Wiper motor
1. Remove the windshield wiper motor drive system module.
2. Remove the windshield wiper transmission from the windshield wiper motor bracket.
3. Remove the wiper motor crank arm from the windshield wiper motor.
4. Remove the windshield wiper motor from the bracket.
5. Install the windshield wiper motor to the new bracket.
6. Install the wiper motor crank arm to the windshield wiper motor.
7. Install the windshield wiper transmission to the windshield wiper motor bracket.
8. Install the windshield wiper motor drive system module.

A TSB is not a recall, if vehicle is still under warranty the dealer should be repaired for free. If not, you'll have to pay for the repairs.