The two terms "genome-scale engineering" and "multiplexed genome engineering" are not clearly differentiated in some scientific papers. It is important to know whether these two terms are synonymous or different.
Genome-scale engineering: Sequence changes to at least two distinct regions of a genome.
Multiplexed genome engineering: Large-scale (many) changes to single or multiple genomes by replacing large contiguous sequences or modifying numerous smaller sites serially or in parallel. This would require a high targeting efficiency.
These terms refer to novel approaches in strain engineering.
GSE: means that you consider the entire genome to engineer a cell in a systems-wide manner towards a superior cell factory
MGE: means that you manipulate genomic DNA massively in parallel, i.e. that you introduce your (many) changes of interest simultaneously. this saves a lot of time, when introducing a set of genetic modifications. as correctly stated by John, targeting efficiency is a crucial parameter. side-effects may combinatorially explode in number in case your modification is not completely precise. simply spoken, at the moment enhanced speed comes with reduced precision.