Question:
Can you write a Sefer Torah in honor of a deceased nonpracticing Jewish child
Answer:
It is permitted to write a sefer torah in honor of a deceased non practicing Jew. A Jew that is not Shabbos observant etc. may not actual write the sefer torah, however it may be written by an orthodox Jew in his honor.
Sources:
Shulchan Aruch O:CH 39-1.