Speaking on his Einfach mal Luppen podcast, which he hosts along with his brother Felix, Kroos took aim at fellow professionals for their over-the-top antics after scoring.
Referencing a celebration by Aubameyang, who has previously sported Spiderman and Black Panther masks, father-of-three Kroos said: "I find it silly. It's even worse if there's an object hidden in their socks.
"Aubameyang once celebrated and took out a mask. That's where it ends with me. I don't think that's a good role model, either. What nonsense."
Arsenal striker Aubameyang did not take kindly to Kroos' comments and personally responded to the Germany international on Twitter.
"By the way, does this @ToniKroos have kids?" he posted. "Just to remember I did it for my son [a] few times and I will do it again.
By the way— Aubameyang P-E (@Aubameyang7) November 12, 2020
Does this @ToniKroos have Kids?
Just to remember i did it for my son few Times and i will do it again
I wish you have Kids one day and make them happy like this Junior School pupils Talk 🙏🏽👊🏽 and don’t Forget #maskon #staysafe 🤡bis https://t.co/J4ZF1XGlsU
"I wish you have kids one day and make them happy like this Junior School pupils Talk and don’t Forget #maskon #staysafe."
The post was accompanied by an image of himself drawn by a school pupil after the youngster was asked to think about what happiness meant to them.