The day-to-day runs are all over the place. The GFS has a tornado outbreak on January 3rd and then back to a cold and snowy pattern.
The Canadian model has the same except the the tornado outbreak to our west; Iowa and Illinois.
The European model shows it being warm and rainy with one small cold front.
Here is what the National Weather Service thinks:
.Long Term...(Friday night through Thursday) Issued at 247 PM EST Thu Dec 29 2022 * Periods of rain Friday night. Limited Flood Risk * Potential for moderate-heavy rainfall, embedded thunder Mon night * Breezy and Warm Tuesday Friday night into Saturday... As an upper trough approaches central Indiana from the southwest, a surface low will develop and move along the front in the area Friday night. Plentiful moisture will remain in place from the low level jet from during the day Friday. Some moisture transport will continue Friday night as well, but not as strong as previously. Precipitable water values will be around an inch in the southeast Friday night. The broad forcing with the upper trough/surface low combined with the plentiful moisture will continue rain across central Indiana, so will go with likely category or higher PoPs all areas, with the highest PoPs southeast closer to the front. Rain amounts may be enough for some minor flooding, mainly southwest where higher amounts are expected. Shallow ground temperatures are warming thanks to the warm air temperatures, so some of the rain will able to soak in. As the system exits on Saturday, some rain will linger in the morning, mainly east. Most areas will be dry Saturday afternoon. Temperatures will vary from cooler northwest to warmer southeast with the front in the area, but readings will remain above normal. Saturday night through Sunday night... Quiet weather will rule during this period with quasi-zonal flow aloft in between systems. Surface high pressure will briefly build in, but a warm front will approach the area from the southwest Sunday night. Forcing from this will be weak enough at this time to continue a dry forecast. Above normal temperatures will continue with the colder air bottled up to the north. Monday through Tuesday... A large upper trough across the western half of the country will develop a strong surface low that will move into the upper Mississippi Valley. There are some uncertainties on the track of this low, but central Indiana will remain on the warm side of the system. A 60kt low level jet will pump in moisture straight from the Gulf of Mexico into the area (this is near the 99th climatological percentile). Ensemble guidance indicates that precipitable water values will be near climatological maximum by Monday night as well. Strong forcing will accompany an initial upper wave that will move through on Monday night. Will have chance PoPs Monday as the the system approaches, and then categorical PoPs Monday night as the it moves through. PoPs will diminish on Tuesday as the initial upper energy exits. Rainfall amounts could cause some localized flooding issues. Will continue to monitor. Enough instability will work north to mention thunder Monday night. Potential for severe weather looks to remain south of the area. Gradient winds will increase as the surface low deepens and the surface front approaches. 40mph gusts are possible Monday night and Tuesday. Above normal temperatures will continue, with highs in the 60s ahead of the cold front on Tuesday. Tuesday night onward... Some low PoPs will linger into Wednesday as the surface front moves through and perhaps a surface trough will rotate in behind the low pressure system. The upper trough will linger on Thursday, but forcing may be weak enough to go with a dry forecast then. Temperatures will cool to closer to normal by Thursday as the upper trough moves in.
