Movers and seconders play an important role, particularly where consensus is reached after debate among directors. When a director has either resisted or tested a proposal with detailed questioning, yet in the end there is no actual dissent (dissent is exceedingly rare, and often a precursor to a resignation) and consensus is reached. When the chair calls for a mover, in my experience the director who led the resistance often moves, and the director who took the position that ultimately prevailed often seconds. When directors act in this way it tends to build collegiality. Omitting the step of seeking movers and seconders is not a best practice for that reason, in my opinion. Recording who moved and seconded is not critical, but recording it cements the benefit of building collegiality.
Just my opinion after attending countless Board meetings in many different settings, from S&P 60 issuers, to major not-for-profits and charitable enterprises.
In a case where the information is missing, as in this case, use best efforts to replace the minutes as completely as possible and have them approved.