From Quito, Bogota, Cali to Mancora:
The more usual way is to take a flight from this cities to Lima with connections flights directly to Talara, Piura or Tumbes (Peru), cities located near Mancora.
From this airports, you can get a private taxi van directly to your beach house or hotel at Mancora or nearby beaches, or from airports get to the closets bus station and then get to Mancora or to any beach in Piura and Tumbes.