One way to enhance transduction efficacy could be coating 24-well plates (non-cell culture treated, to enhance coating efficiency) with retronectin and then the anti-CD3 and CD28 antibodies as well as the virus particles and then spin your T cells down for 2.5h at 32°C with 800xG (spin-fection).
in my experience, I use FBS to coat in cell culture well, and then suspension cells like K562 cell attach to the surface of a cell culture well, so it causes to increase my transduction rate.
this is my paper link:
Article Improvement of K562 Cell Line Transduction by FBS Mediated A...
This might be too late of a response, but in case it still helps somehow. I struggled with the same issue for over a year- turned out, murine CD8+ cells are very resistant to lentivirus. Once we switched to retrovirus, the transduction efficiency significantly improved (usually between 20-50%).