There's a set of Voldemort's robes on the ground along with his wand (NB: you never ever part with your wand).
I don't have time to check the MoR archives, but didn't Bellatrix retrieve the wand? Or did Voldemort give it to her before he went to Godric's Hollow and just take another wand?
"Your wand," murmured Bellatrix, "I hid it in the graveyard, my lord, before I left... under the tombstone to the right of your father's grave...
He could have given it to her before he left (which would be evidence that he planned his 'absence') or she could have, say, taken a detour on the way to the Longbottoms' place to steal it back from the forensic Aurors and hide it.
Also, if the wand is still there I will be very disappointed in Dumbledore.
(And somewhere in the back of his mind was a small, small note of confusion, a sense of something wrong about that story; and it should have been a part of Harry's art to notice that tiny note, but he was distracted. For it is a sad rule that whenever you are most in need of your art as a rationalist, that is when you are most likely to forget it.)
Why does the wizarding world believe Voldemort used the Killing Curse on Harry? Whether or not the Love Shield exists in MoR, I doubt most wizards had an >epsilon prior for the Killing Curse resulting in a scarred but otherwise unharmed target, a dead and burned spellcaster, and a destroyed building. There were no surviving witnesses except Baby Harry. Where did that version of events come from?
If I was Joe Random Wizard and heard that evidence without names attached, I would naively hypothesize: Dark Wizard shows up at house, encounters mother + father + their allies. Battle ensues. Parents and Dark Wizard are slain. House is destroyed and baby is hit by debris. There is one obvious question - why the allies didn't take the baby with them - but any answer to that is more plausible than "There were no allies; the most reliable curse in the world backfired on its most experienced practitioner."
Not that the "reflected curse" story was hard to sell. People are great at not asking the next question when they want to believe.
We have some additional information about the events of that evening:
What really happened at Godric's Hollow?
PS. If the Love Shield does exist in MoR, do you suppose Bellatrix could cast it?