Starting Acts

Gospels sequel, more specifically, Luke's sequel.  So I wonder about the order.  Shouldn't they touch, without John in between?  The belief that Mark must be first and John must be last has merit because we like to place things from simple to complex, or straightforward to esoteric.  But we all know ancient things which are complicated.  Clearly the "In the beginning" of John should be in the beginning of N.T. even without the hugely important Genesis correlation.  So not MMLJ, which connects Malachi to John the Baptist, but J then M or M, Luke and Acts, which connects before time to 2000 years ago, and parallels Hebrew Bible.  But which M is second book and which third?