により is a formal variant of によって 'by / by means of / owing to.' 現代的 uses the productive ~的 suffix to form 'modern (in style).' 登場感 / 躍動感 are both ad-copy compounds using the productive ~感 suffix '(a sense of) X' — 登場 'appearance' + 感 = 'a sense of presence,' 躍動 'leaping / dynamism' + 感 = 'a sense of dynamism.' 仕上げる 'to finish (a product)' is a compound verb for completing a design or craft.