I wouldn't advise it. With lizards you need to pay attention to what you feed them. In particular, as pets you also want to control what the insects you feed them have eaten.
Feeding your lizard beer and sugar/syrup loaded dead ants will cause more harm than good.
It's a horned lizard, who's diet consists of 90% ants. I would not use beer in the bottom or any kind of liquid actually... just the sugar cubes and syrup to attract them and get them stuck in a jar.