Technique, I’m afraid. Blow into the tube to partially inflate and then insert tube under the tyre, work your way around from both sides mounting the bead on the rim to finish at the valve. Then let out the small amount of air and pop the remaining bead over the rim. If it is tight, work the tyre bead into the centre of the rim opposite the valve to free up more at the top. You should not require levers to mount a road tyre.
Then partially inflate, work your way around the tyre looking between tyre and rim on both sides to see if any inner tube can be seen. If it can, unseat the tyre slightly so the tube moves underneath the tyre.
ONLY THEN, when you cannot see any inner tube, should you inflate the tyre to maximum pressure.
Sounds easy? Well, latex inner tubes are so flexible that even when apparently mounted OK, they can squeeze their way out occasionally and puncture. Had two do this, one when inflated from 120 to 140 PSI for a Time Trial. The other was definitely my error. The bang and subsequent large hole is always impressive.