Cadillac 2011 DTS Owner's Manual page 148

Be sure to keep the original remote control transmitter
for use in other vehicles, as well as, for future
programming. Only the original remote control
transmitter is needed for Fixed Code programming. The
programmed buttons should be erased when the
vehicle is sold or the lease ends. See Erasing
Universal Home Remote Buttons later in this section.
Park the vehicle outside of the garage when
programming a garage door. Be sure that people and
objects are clear of the garage door or gate that is
being programmed.
For questions or help programming the Universal Home
Remote System, call 1-866-572-2728 or go to
learcar2u.com.
Most garage door openers sold after 1996 are Rolling
Code units.
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Programming a garage door opener involves
time-sensitive actions, so read the entire procedure
before starting. Otherwise, the device will time out and
the procedure will have to be repeated.
To program up to three devices:
1. From inside the vehicle, press the two outside
buttons at the same time for one to two seconds,
and immediately release them.