What is the output of the E.A.T E-Glo Petit?
E-Glo max gain is 70 dB. For your 0.25mV Goldring, that gives an output of about 0.8 Volts (790 milliVolts). On paper, it’s a good choice. Your current M1 yields only 0.15 Volts (149 mV) for that same cartridge. It will be a massive difference. Your M1 phono stage’s MC mode is certainly targeted at medium output MC cartridges, not low outputs like 0.25mV.
Alternatively a Bob’s Devices Sky 30 SUT would add ~ 29dB (maybe a little less due to loading losses) to your M1’s 40 dB / 47K MM mode, and nets close to the same result as the E-Glo’s highest 70dB gain. But even 40dB is on the low side for an MM stage. Musical Fidelity isn't very generous with their dB's!
Others are very correct to point out the mismatch between amp & speakers, and potential TT isolation issues. However your current phono stage / cartridge match is DEFINITELY a problem; it’s just that you may be dealing with multiple issues here. I’d fix the phono stage first, since as you mentioned the system works well with digital sources (usually at least 2 Volts output).