Cindy-Lou asks Santa-Grinch to bring something to make her mom's life better. Over the end titles, we see that The Grinch has created a number of labor-saving devices, which do indeed make her happier and her life easier.
In the Illumination logo, Bob from Minions (2015) and Snowball from The Secret Life of Pets (2016) says the company name and they holding a sparkler, they pyrotechnics suddenly spray over the logo's stage, burning Bob's feet. Then some sprinklers turn on, dousing the flames and covering Snowball in water. After Snowball says "Oh, man.", Bob gives his sparkler to Snowball, and the logo's text brightens up the screen to start the movie. This same applies to the 16:9 variants of the film (as seen in the Home Entertainment and TV prints including the 2021 NBC airing), but it is open matte.
In the another trailer, the Illumination logo is covered entirely in snow, with snow also falling throughout. Three minions are seen wearing Christmas outfits as they play with tambourines, while one of the minions plays in the snow, shouting out the company name as he sticks out his tongue. The logo was later used for the TV special Minions Holiday Special (2020)
In the first trailer, Bob from Minions (2015) turns a flashlight on as if he's saying "Illumination" in that manner, laughing maniacally afterwards. The text suddenly turns on and he runs off in fear.
In the another trailer, the text in the Illumination logo appears above at first. One of the minions is seen with a party blower, who is hitting the minion in the distance. He then grabs the minion with the blower, pushing him as they move out and the text drops down.