The sentence is from a Japanese telling of Hansel and Gretel and I know enough to read it as "Leave your children in the forest before it is too late."
What I don't understand here is how すてる has been modified by きておくれ. What does that き relate to? Is it part of すててき to change (discard) somehow or is it something like (leave)(come here)(without delay)?
As per the comments, you should parse すててきておくれ as すてて + きて + おくれ.
Without changing the content or function you can replace おくれ by ください (more about おくれ here)、
すてて is the te-form of すてる (here) "to cast away",
きて is the te-form of くる "to come [back]",
Xてくる is a common construction of saying "to go, do X [and then return]", but as indicated you might not necessarily translate the くる as "return"
Xてください is the construction for phrasing a request "Please do X"
すてて + きて + ください
Please go cast away [the children] [and come back when you're done]
