Approach 1: Try unplugging the DVD player from the wall for an hour, then plug it back in. It may or may not reset to the factory default settings, which might put it back to "interlaced" output.
Approach 2: When a DVD player is switched to progressive scan, it uses outputs different from the coax cable "TV out" and the COMPOSITE outputs (often yellow, white and red RCA jacks. If you have the proper cables, you can connect them to both the DVD player and the TV, then cycle through the AKAI TV's "source" settings to switch the TV to the new cable input location.
For example, if the DVD player has "component" outputs (marked Y, Pb, and Pr) hook up RCA plug cables between those jacks and the AKAI TV's Y, Pb, and Pr jacks. Connect the Y to Y, the Pb to Pb, and the Pr to Pr, of course. The LCT3285TA has two sets of these jacks. Either will do, but note if you use YPbPr1 or YPbPr2. Once this is done, push the source button on the side of the TV (or on the TV's original remote) until it shows YPbPr1 or (...2 if that's what you connected). If the DVD player is on, you should now see the DVD menu or the picture from the DVD. Now you can use the DVD remote to switch back from progressive to interlaced video. The picture may go blank at this step.
Now push the TV's source button again until you see "3" or whatever channel you had been using in the upper left of the TV screen. You should see the DVD output picture (menu) again. Back to normal.
If your DVD player doesn't have YPbPr connections, it may have a HDMI or DVI jack.
The AKAI TV also has a HDMI input, you *could* get and HDMI cable (or DVI to HDMI cable if the DVD player doesn't have HDMI), hook it up, then cycle through the TV's source inputs until you see the HDMI in the upper left... in the manner I've just described.
Final Note: The progressive scan output of your DVD will actually give you a much better picture on your AKAI TV than its interlaced output. To take advantage of that, you'll have to hook up YPbPr or HDMI cables between player and TV and switch sources when you want to watch DVDs instead of TV programs. You may need additional cables to send the stereo audio output from the player to the TV for the progressive source hookup.