is it okay to say "don't step your slippers on the mat"?

Question

step 2 ●●● S3 W3 verb (stepped, stepping) [intransitive always + adverb/preposition]

1 to raise one foot and put it down in front of or behind the other one in order to walk or move

step forward/back/down/into etc

He stepped back to let me through.

I stepped outside and closed the door.

Mr Ives? Please step this way (=walk in the direction I am showing you).

2 to bring your foot down on something SYN tread British English

step in/on etc

I accidentally stepped in a puddle.

You’re stepping on my foot.

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"Step" is an intransitive verb.

So we can say "to step on the mat" but not "to step your slippers on the mat".

Say, Your kid can walk barefoot on the mat but he can't walk on the mat while wearing his slippers.

is it okay to say "don't step your slippers on the mat"? or maybe "don't step on the mat while wearing your slippers"?

Answer 1

Question: Is it okay to say "don't step your slippers on the mat"? or maybe "don't step on the mat while wearing your slippers"?

Answer: No, it is not.

• Don't step on the mat in your slippers.
• Don't walk on the mat in your slippers.

Those are the ways it would be said.

For items of clothing including shoes, we say: in your shoes. If you are wearing them, you are "in them".

Answer 2

No. You don't "step" your shoes, slippers or your feet.

It sounds like you want to say "don't step on the mat in your slippers".