Modes are moods of a scale. Want a specific mood, grab the mode that gives that mood.
Most of this deals with the chords used, modal harmony does not resolve, there is no I-V cadence in modal. Modal is usually a two chord vamp of the tonic and then a chord that has the signature note of the mode you want. Lydian's signature note is the #4 so your second vamp chord should contain a #4 note in it's make up.
There is modal and tonal. 97.5% of what we do is tonal, the good ole I-IV-V chugging under a tonal melodic solo...
Unless you, are one of your solo instruments, is using modes for their improv, forget about modes, there is plenty of tonal stuff to keep you playing...Trying to play modal over a I-IV-V progression does nothing to call attention to the modal sound. To hear the modal sound you need a modal vamp to play your mode over.
Modes of the major scale
using the parallel method.
Ionian R-2-3-4-5-6-7 same as the major scale.
Lydian R-2-3-#4-5-6-7 Change one note.
Mixolydian R-2-3-4-5-6-b7 Change one note.
Aeolian R-2-b3-4-5-b6-b7 same as the natural minor scale.
Dorian R-2-b3-4-5-6-b7 Change one note.
Phrygian R-b2-b3-4-5-b6-b7 Change one note.
Locrian R-b2-b3-4-b5-b6-b7 Change two notes.
Hit the big E string and let it ring. Play E Lydian then E Dorian over the droning E string. Hear the difference.
I think what you were hearing was Mixolydian over a dominant seven chord progression -- and or modal vamp. Most of the time this gives a Latin sound.
Do a Google on modal harmony.