Commercial Fixed Wing
Flight Crew Air Transport Pilot (ATP)
Communication Breakdown; Confusion
ATC Issue All Types; Deviation / Discrepancy - Procedural Clearance; Ground Incursion Taxiway
Air Traffic Control Issued New Clearance; Flight Crew Became Reoriented
Airport; Human Factors; Procedure
Landed and began to exit high speed Taxiway E when Tower said turn left onto EG.  Saw no signage for EG.  Pilot Flying then said 'Can't make that taxiway' because of the Tower distraction.  Then Tower said to exit right onto Taxiway Golf and hold short of  [Runway] 05R.  When holding short of 05R on Hotel; Tower said to cross 05L at B.  Informed Tower we were short of 05R at Hotel.  Was asked if we could cross 05R at Bravo.  We proceeded to cross 05R but saw no signage for Taxiway B; then [we] were told to turn left onto H1 and hold short of 05L at Bravo.  Crossed Runway 05L and proceeded to the gate. [Caused by] lack of signage and poor runway lighting.  Also Tower interrupting when rolling out to exit the runway. [Suggest] better signage and lighting and Tower giving better communication not during landing.
First Officer reported some confusion regarding their taxi clearance after landing at Mexico City because of poor signage and lighting.