JS:
this.axios
.post('/api/record/add', this.record)
.then(response => (
this.$router.push({name: 'home'})
))
controller:
public function add(Request $request)
{
$record = new Record([
'name' => $request->input('name'),
'size' => $request->input('size'),
'year' => $request->input('year')
]);
$record->save();
}