Well. What I do is to simply ignore the lie and focus on the behavior at hand.
"Did you put away your clothes."
"Yes"
[you check and its not done"
"DS you need to put away your clothes now"
"No its d brother jumping'
[after checking]: DS stop jumping on the bed right now. You can get hurt.
Even better if you don't want to check and to avoid the lying in the first place:
"If you haven't put away your clothes already I want it done right now"
"Whoever is jumping on the bed needs to stop right this minute. Jumping on the bed could hurt you!"
"Did you put away your clothes."
"Yes"
[you check and its not done"
"DS you need to put away your clothes now"
"No its d brother jumping'
[after checking]: DS stop jumping on the bed right now. You can get hurt.
Even better if you don't want to check and to avoid the lying in the first place:
"If you haven't put away your clothes already I want it done right now"
"Whoever is jumping on the bed needs to stop right this minute. Jumping on the bed could hurt you!"